Simplification Problem | Concept of Factorial | √(144/11) + (√(27/3))! x (√50/2) | Very Interesting

Simplification Problem | Concept of Factorial | √(144/11) + (√(27/3))! x (√50/2) | Very Interesting
Many Students face difficulties in Solving these type of questions. This video helps the students to clear their concepts and helps to solve these questions quickly and easily.

Welcome to Nand Kishore Classes
For 8th, 9th & 10th (Mathematics)
New Batches start w.e.f. 1st April 2021 (Online)
To Fill the Registration Form, Click at below Link

https://forms.gle/FFRPDgMmTHq87MYu7​​​

Click at below links to download the PDFs containing YouTube Links
1. Basic Math
http://nandkishoreclasses.com/basicma...​
2. Shortcut Tricks & Reasoning
http://nandkishoreclasses.com/shorttr...​
3. Kids Activities
http://nandkishoreclasses.com/kidsact...​
4. Class 4th
http://nandkishoreclasses.com/class4​​​
5. Class 5th
http://nandkishoreclasses.com/class5​​​
6. Class 8th
http://nandkishoreclasses.com/class8​​​
7. Class 9th
http://nandkishoreclasses.com/class9​​​
8. Class 10th
http://nandkishoreclasses.com/class10​​​
9. Class 11th
http://nandkishoreclasses.com/class11​​​
10. Class 12th
http://nandkishoreclasses.com/class12​​
Question Covered in this video are :-
1) √(144/11) + (√(27/3)) ! X √(50/2)
You must try this question and give your response in Comment Box

The simplification and approximation topic is one of the easiest in the numerical ability section and only efficient calculation can help a candidate solve questions from this section easily.
The main idea behind asking questions from the approximation and simplification topic is to test the ability of a candidate to work with numbers and basic calculations.
Questions are made to confuse the candidates with long decimal numbers and calculations which may seem complicated but this topic is one where a candidate can score most without making errors.
Simplify a6 × a5
The rules tell me to add the exponents. But I when I started algebra, I had trouble keeping the rules straight, so I just thought about what exponents mean. The " a6 " means "six copies of a multiplied together", and the " a5 " means "five copies of a multiplied together". So if I multiply those two expressions together, I will get eleven copies of a multiplied together.
Simplifying Expressions on Nandkishoreclasses.com
Simplifying Expressions

a6 × a5 = (a6)(a5)

= (aaaaaa)(aaaaa)

= aaaaaaaaaaa

= a11

Thus:

a6 × a5 = a11

Simplify the following expression:
The exponent rules tell me to subtract the exponents. But let's suppose that I've forgotten the rules again. The " 68 " means I have eight copies of 6 on top; the " 65 " means I have five copies of 6 underneath.

How many extra 6's do I have, and where are they? I have three extra 6's, and they're on top. Then:

Unless the instructions also tell you to "evaluate", you're probably expected to leave numerical exponent problems like this in exponent form. If you're not sure, though, feel free to add "= 216", just to be on the safe side.

Simplify the following expression:
How many extra copies of t do I have, and where are they? I have two extra copies, on top:

Once you become comfortable with the "how many extras do I have, and where are they?" reasoning, you'll find yourself not needing to write things out and cancel off the duplicate factors. The answers will start feeling fairly obvious to you.

Content Continues Below
Simplify the following expression:
This question is a bit different, because the larger exponent is on the term in the denominator. But the basic reasoning is the same.

How many extra copies of 5 do I have, and where are they? I have six extra copies, and they're underneath:

Note: If you apply the subtraction rule, you'll end up with 53–9 = 5–6, which is mathematically correct, but is almost certainly not the answer they're looking for.

Whether or not you've been taught about negative exponents, when they say "simplify", they mean "simplify the expression so it doesn't have any negative or zero powers". Some students will try to get around this minus-sign problem by arbitrarily switching the sign to magically get " 56 " on top (rather than below a "1"), but this is incorrect.

Let's move on to expressions that are a bit more complex.

Simplify the following expression:
I mustn't forget that the "5" and the "3" are just numbers. Since 3 doesn't go evenly into 5, I can't cancel the numbers.

And I mustn't try to subtract the numbers, because the 5 and the 3 in the fraction "" are not at all the same as the 5 and the 3 in rational expression "". The numerical portion stays as it is.
Welcome to Nand Kishore Classes
Facebook Page -
https://www.facebook.com/nandkishorec...​
YouTube Channel -
https://www.youtube.com/c/nandkishore...​
Instagram -
https://www.instagram.com/nandkishore...​
Twitter -
https://twitter.com/nandclasses​​​
Website
http://nandkishoreclasses.com​​​

Видео Simplification Problem | Concept of Factorial | √(144/11) + (√(27/3))! x (√50/2) | Very Interesting канала Nand Kishore Classes