🔥𝐏𝐫𝐨𝐯𝐞 𝐭𝐡𝐚𝐭 𝟓 − √𝟑 𝐢𝐬 𝐈𝐫𝐫𝐚𝐭𝐢𝐨𝐧𝐚𝐥 | 𝐂𝐥𝐚𝐬𝐬 𝟏𝟎 𝐑𝐞𝐚𝐥 𝐍𝐮𝐦𝐛𝐞𝐫𝐬 𝐄𝐱.𝟏.𝟐 𝐐𝐮𝐞𝐬𝐭𝐢𝐨𝐧
Welcome to Maths with Vinita Mam!
In this video, we prove that 5 − √3 is irrational with a complete step-by-step explanation from Class 10 NCERT Maths – Real Numbers – Exercise 1.2.
The question “Prove that 5 − √3 is irrational” is a frequently asked board-level proof. We solve this using the contradiction method to show that if 5 − √3 were rational, it would imply that √3 is rational — which contradicts a well-known fact.
In this video: ✅ We assume 5 − √3 is rational
✅ Rearrange the expression
✅ Derive √3 as a rational form
✅ Show contradiction
✅ Conclude that 5 − √3 must be irrational
This video proves that 5 − √3 is irrational clearly, slowly, and visually using logical reasoning that follows CBSE’s marking scheme.
If you're searching for:
Prove that 5 − √3 is irrational
Is 5 − √3 irrational?
Class 10 Real Numbers Exercise 1.2
Irrational number proofs using contradiction
Then this video is made for YOU!
This question is especially useful for students preparing for:
CBSE Board Exams 2025
NCERT Class 10 Term 1 & Term 2
Rational & Irrational Numbers Concepts
📌 Watch the full series including Q.1, Q.2, and Q.3 in our Irrational Numbers Playlist.
#ProveThat5MinusRoot3IsIrrational #Class10Maths #RealNumbersExercise1_2 #CBSE2025 #MathsWithVinitaMam #IrrationalNumbers #ContradictionMethod #Root3Proof #Class10RealNumbersProof #CBSEBoardMaths #NCERTSolutionsClass10 #CBSEImportantQuestions #Root3Irrational #CBSEMaths2025 #NCERTRealNumbers #Class10ProofQuestion #MathsProofVideo #MathsCBSEBoard #5MinusRoot3Irrational #VinitaMamMaths
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🎯 Perfect for SSC, SAT, CGL, Banking, Railways, Maths Olympiad & Other Exams like CBSE ICSE ETC!🔍
PROBABILITY CLASS 9 & 10
https://youtube.com/playlist?list=PLFVasbQcs-6RLNd5CM9NaBIB451MTXKZ4&si=S9nX0GI9fyodc_wD
𝐂LASS 𝟏𝟎 𝐑EAL 𝐍UMBERS
https://youtube.com/playlist?list=PLFVasbQcs-6Svyrq_qAgc63BCpUqqWI0d&si=EVijAqadJ9NlusVD
TRIANGLES CLASS 10
https://youtube.com/playlist?list=PLFVasbQcs-6RjdfRyjVRnoFT5olNF7KLk&si=UMxW9EcT55PtNifW
SYSTEMS OF SIMULTANEOUS LINEAR EQUATIONS CLASS 10
https://youtube.com/playlist?list=PLFVasbQcs-6SQZ0dBFgbGUta3s6gbJzJW&si=UD8aBHXRboZYHrYf
ARITHMETIC PROGRESSION PLAYLIST:
https://youtube.com/playlist?list=PLFVasbQcs-6RQuNLUQGM3FozRP0NKOiQ9&si=vrpZ9ONh5u8He0fd
POLYNOMIALS CLASS 10
Playlist link:
https://youtube.com/playlist?list=PLFVasbQcs-6SRaL4bM15GadwZ4oZC2oxw&si=TMHWs6_i8vV4_Wjz
QUADRATIC EQUATIONS CLASS 10
https://youtube.com/playlist?list=PLFVasbQcs-6S8g2mC5z9PB4nVP8E2ZbvX&si=Prtre8H1_lNp_Kdf
REAL NUMBERS CLASS 10
https://youtube.com/playlist?list=PLFVasbQcs-6RFulhIHJlna0f0YhVgrPNB&si=jH5cIDeQNSU1Qpai
TRIGONOMETRY CLASS 10
https://youtube.com/playlist?list=PLFVasbQcs-6Rdncaqe6dFgPGHrIXjPQFn&si=_Op2RPlH6ls9clsS
LOGARITHMS CLASS 9 & 10
https://youtube.com/playlist?list=PLFVasbQcs-6SysJzCOLZ2JjE52o-UEe4a&si=9P8yPSbM3U1qrtk-
ALGEBRAIC IDENTITIES: CLASS 9 & 10
https://youtube.com/playlist?list=PLFVasbQcs-6SwBnl5CaE_PXJQ4YHU1xHB&si=MjgRWxfRlqbCHJ11
SOLVE FOR 'X' RECAP: https://www.youtube.com/playlist?list=PLFVasbQcs-6QiaaZPsdros2Ga03Rcd7B9
FACTORISATION: https://www.youtube.com/playlist?list=PLFVasbQcs-6RiWyN5WBgoJAWcai4IHWgF
CIRCLE REVISION CLASS 9 &10: https://www.youtube.com/playlist?list=PLFVasbQcs-6S4cAUqTxrlqo9rjGDJrN_y
RATIONALISE THE DENOMINATOR Class 9 & 10 RECAP: https://www.youtube.com/playlist?list=PLFVasbQcs-6RrgxQrqZ22U8YcXkDAKTo3
TRICKS TO CONVERT RECURRING DECIMALS CLASS 9
TO P / Q FORM: https://www.youtube.com/playlist?list=PLFVasbQcs-6QrvlsE7eHthtJus-N_M8yC
SHORTS SEPARATE PLAYLIST
https://youtube.com/playlist?list=PLFVasbQcs-6TeAaGAYLIULxSWcXUsu1eq&si=7dfHGK6-cuEqK_Fd
CLASS 9, NUMBER SYSTEMS CHAPTER 1.: https://www.youtube.com/playlist?list=PLFVasbQcs-6Qz0bKmpBEF6oTaFdpByB9h
REVISION NUMBER SYSTEMS CLASS 9: https://www.youtube.com/playlist?list=PLFVasbQcs-6Tt4l6_E5kyD_s2XGEVjt4l
QUICK RECAP OF ALGEBRAIC IDENTITIES RECAP https://www.youtube.com/playlist?list=PLFVasbQcs-6SwBnl5CaE_PXJQ4YHU1xHB
LIKE SHARE SUBSCRIBE
Rational numbers class 7 Exercise 8.1
https://youtube.com/playlist?list=PLFVasbQcs-6QCt_RttPB7aEkLud37SNyz&si=CU9AcBNowYzsJ0jX
CONGRUENCE OF TRIANGLES CLASS 7 & 8
https://youtube.com/playlist?list=PLFVasbQcs-6SBQh_zBy5wGk95miD8CVbl&si=GIQXpCgp6gL0qcMF
Видео 🔥𝐏𝐫𝐨𝐯𝐞 𝐭𝐡𝐚𝐭 𝟓 − √𝟑 𝐢𝐬 𝐈𝐫𝐫𝐚𝐭𝐢𝐨𝐧𝐚𝐥 | 𝐂𝐥𝐚𝐬𝐬 𝟏𝟎 𝐑𝐞𝐚𝐥 𝐍𝐮𝐦𝐛𝐞𝐫𝐬 𝐄𝐱.𝟏.𝟐 𝐐𝐮𝐞𝐬𝐭𝐢𝐨𝐧 канала Maths with Vinita Mam
In this video, we prove that 5 − √3 is irrational with a complete step-by-step explanation from Class 10 NCERT Maths – Real Numbers – Exercise 1.2.
The question “Prove that 5 − √3 is irrational” is a frequently asked board-level proof. We solve this using the contradiction method to show that if 5 − √3 were rational, it would imply that √3 is rational — which contradicts a well-known fact.
In this video: ✅ We assume 5 − √3 is rational
✅ Rearrange the expression
✅ Derive √3 as a rational form
✅ Show contradiction
✅ Conclude that 5 − √3 must be irrational
This video proves that 5 − √3 is irrational clearly, slowly, and visually using logical reasoning that follows CBSE’s marking scheme.
If you're searching for:
Prove that 5 − √3 is irrational
Is 5 − √3 irrational?
Class 10 Real Numbers Exercise 1.2
Irrational number proofs using contradiction
Then this video is made for YOU!
This question is especially useful for students preparing for:
CBSE Board Exams 2025
NCERT Class 10 Term 1 & Term 2
Rational & Irrational Numbers Concepts
📌 Watch the full series including Q.1, Q.2, and Q.3 in our Irrational Numbers Playlist.
#ProveThat5MinusRoot3IsIrrational #Class10Maths #RealNumbersExercise1_2 #CBSE2025 #MathsWithVinitaMam #IrrationalNumbers #ContradictionMethod #Root3Proof #Class10RealNumbersProof #CBSEBoardMaths #NCERTSolutionsClass10 #CBSEImportantQuestions #Root3Irrational #CBSEMaths2025 #NCERTRealNumbers #Class10ProofQuestion #MathsProofVideo #MathsCBSEBoard #5MinusRoot3Irrational #VinitaMamMaths
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🎯 Perfect for SSC, SAT, CGL, Banking, Railways, Maths Olympiad & Other Exams like CBSE ICSE ETC!🔍
PROBABILITY CLASS 9 & 10
https://youtube.com/playlist?list=PLFVasbQcs-6RLNd5CM9NaBIB451MTXKZ4&si=S9nX0GI9fyodc_wD
𝐂LASS 𝟏𝟎 𝐑EAL 𝐍UMBERS
https://youtube.com/playlist?list=PLFVasbQcs-6Svyrq_qAgc63BCpUqqWI0d&si=EVijAqadJ9NlusVD
TRIANGLES CLASS 10
https://youtube.com/playlist?list=PLFVasbQcs-6RjdfRyjVRnoFT5olNF7KLk&si=UMxW9EcT55PtNifW
SYSTEMS OF SIMULTANEOUS LINEAR EQUATIONS CLASS 10
https://youtube.com/playlist?list=PLFVasbQcs-6SQZ0dBFgbGUta3s6gbJzJW&si=UD8aBHXRboZYHrYf
ARITHMETIC PROGRESSION PLAYLIST:
https://youtube.com/playlist?list=PLFVasbQcs-6RQuNLUQGM3FozRP0NKOiQ9&si=vrpZ9ONh5u8He0fd
POLYNOMIALS CLASS 10
Playlist link:
https://youtube.com/playlist?list=PLFVasbQcs-6SRaL4bM15GadwZ4oZC2oxw&si=TMHWs6_i8vV4_Wjz
QUADRATIC EQUATIONS CLASS 10
https://youtube.com/playlist?list=PLFVasbQcs-6S8g2mC5z9PB4nVP8E2ZbvX&si=Prtre8H1_lNp_Kdf
REAL NUMBERS CLASS 10
https://youtube.com/playlist?list=PLFVasbQcs-6RFulhIHJlna0f0YhVgrPNB&si=jH5cIDeQNSU1Qpai
TRIGONOMETRY CLASS 10
https://youtube.com/playlist?list=PLFVasbQcs-6Rdncaqe6dFgPGHrIXjPQFn&si=_Op2RPlH6ls9clsS
LOGARITHMS CLASS 9 & 10
https://youtube.com/playlist?list=PLFVasbQcs-6SysJzCOLZ2JjE52o-UEe4a&si=9P8yPSbM3U1qrtk-
ALGEBRAIC IDENTITIES: CLASS 9 & 10
https://youtube.com/playlist?list=PLFVasbQcs-6SwBnl5CaE_PXJQ4YHU1xHB&si=MjgRWxfRlqbCHJ11
SOLVE FOR 'X' RECAP: https://www.youtube.com/playlist?list=PLFVasbQcs-6QiaaZPsdros2Ga03Rcd7B9
FACTORISATION: https://www.youtube.com/playlist?list=PLFVasbQcs-6RiWyN5WBgoJAWcai4IHWgF
CIRCLE REVISION CLASS 9 &10: https://www.youtube.com/playlist?list=PLFVasbQcs-6S4cAUqTxrlqo9rjGDJrN_y
RATIONALISE THE DENOMINATOR Class 9 & 10 RECAP: https://www.youtube.com/playlist?list=PLFVasbQcs-6RrgxQrqZ22U8YcXkDAKTo3
TRICKS TO CONVERT RECURRING DECIMALS CLASS 9
TO P / Q FORM: https://www.youtube.com/playlist?list=PLFVasbQcs-6QrvlsE7eHthtJus-N_M8yC
SHORTS SEPARATE PLAYLIST
https://youtube.com/playlist?list=PLFVasbQcs-6TeAaGAYLIULxSWcXUsu1eq&si=7dfHGK6-cuEqK_Fd
CLASS 9, NUMBER SYSTEMS CHAPTER 1.: https://www.youtube.com/playlist?list=PLFVasbQcs-6Qz0bKmpBEF6oTaFdpByB9h
REVISION NUMBER SYSTEMS CLASS 9: https://www.youtube.com/playlist?list=PLFVasbQcs-6Tt4l6_E5kyD_s2XGEVjt4l
QUICK RECAP OF ALGEBRAIC IDENTITIES RECAP https://www.youtube.com/playlist?list=PLFVasbQcs-6SwBnl5CaE_PXJQ4YHU1xHB
LIKE SHARE SUBSCRIBE
Rational numbers class 7 Exercise 8.1
https://youtube.com/playlist?list=PLFVasbQcs-6QCt_RttPB7aEkLud37SNyz&si=CU9AcBNowYzsJ0jX
CONGRUENCE OF TRIANGLES CLASS 7 & 8
https://youtube.com/playlist?list=PLFVasbQcs-6SBQh_zBy5wGk95miD8CVbl&si=GIQXpCgp6gL0qcMF
Видео 🔥𝐏𝐫𝐨𝐯𝐞 𝐭𝐡𝐚𝐭 𝟓 − √𝟑 𝐢𝐬 𝐈𝐫𝐫𝐚𝐭𝐢𝐨𝐧𝐚𝐥 | 𝐂𝐥𝐚𝐬𝐬 𝟏𝟎 𝐑𝐞𝐚𝐥 𝐍𝐮𝐦𝐛𝐞𝐫𝐬 𝐄𝐱.𝟏.𝟐 𝐐𝐮𝐞𝐬𝐭𝐢𝐨𝐧 канала Maths with Vinita Mam
Prove that 5 − √3 is irrational proves that 5 − √3 is irrational Is 5 − √3 irrational? Class 10 Real Numbers Exercise 1.2 Rational & Irrational Numbers Concepts prove that 5 - root 3 is irrational 5 minus root 3 irrational proof Class10Maths Root3Irrational 5MinusRoot3Irrational RealNumbersExercise1.2 VinitaMamMaths Maths with Vinita Mam 5 - √3 is irrational why 5MinusRoot3Irrationals ncert class 10 ex 1.2 q irrational
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