🔥 Ex 1D Class 10 Q1 to Q17 Real Numbers | RS Aggarwal | Chapter 1 in Hindi | 2024 | CBSE | ICSE |

Book - RS Aggarwal
Book - NCERT
Class - 10
Chapter - Real Numbers
Exercise 1D
Q1 to Q17
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exercise 1d class 10
Define (i) rational numbers, (i) irrational numbers, (i) real numbers.
2. Classify the following numbers as rational or irrational:
22
(i)
(ii) 3.1416
（ii）兀
7
(iv) 3.142857
(v) 5.636363 ...
(vi) 2.040040004... (vii) 1.535335333 ...
(viii) 3.121221222 ... (ix) V21
(x) 3/3
3. Find a rational number between /2 and V3.
[CBSE 2019]
4. Prove that 6 is an irrational number.
5. Prove that (2 + V3) is an irrational number, given that 3 is an irrational
• number.
[CBSE 2018C]
6. Prove that (4 - V3) is an irrational number, given that /3 is an irrational number.
7. Prove that (3+5\2) is an irrational number, given that /2 is an
irrational number.
8. Prove that (2+3/5) is an irrational number, given that /5 is an irrational number.
[CBSE 2018]
[CBSE 2019]
9. Prove that
(3- 4V2)
is an irrational number, given that v2 is an
irrational number.
10. Prove that (5-2/3) is an irrational number, given that V3 is an irrational number.
[CBSE 2010]
11. Prove that 5/2 is an irrational number, given that /2 is an irrational number.
12. Prove that
V3
is irrational, given that 3 is irrational.
2
13. Prove that
- iS irrational, given that V7 is irrational.
14. Prove that
V5
is irrational, given that 5 is irrational.
15. Prove that (V2 + V5) is irrational.
[CBSE 2020]
16. (1) Give an example of two irrationals whose sum is rational. (ii) Give an example of two irrationals whose product is rational.
17. State whether the given statement is true or false.
(i) The sum of two rationals is always rational. (ii) The product of two rationals is always rational.

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