Squares and Square Roots & Cubes and Cube Roots - Exercise

NCERT Exemplar Solutions Class 8 Mathematics Solutions for Squares and Square Roots & Cubes and Cube Roots - Exercise in Chapter 3 - Squares and Square Roots & Cubes and Cube Roots

Question 84 Squares and Square Roots & Cubes and Cube Roots - Exercise

3√ (8 + 27) = 3√ (8) + 3√ (27).

Answer:

False.

Let us consider LHS = 3√ (8 + 27)

= 3√ (35)

Then, RHS = 3√8 + 3√27

= 2 + 3

= 5

By comparing LHS and RHS

LHS ≠ RHS

3√ (35) ≠ 5

Video transcript

"hello students welcome to lead q a video session i am saf your math tutor and question for today is 3 root bracket of 8 plus 27 is equal to 3 root 8 plus 3 root 27 so just we need to see whether alice is equal to rhs or not or the equation is satisfying or not so let us consider lhs first of all this is our lhs that is 3 root 8 plus 27 so let us simplify it 3 under root 8 plus 27 is 35 now let us take rhs rhs is equal to 3 root 8 plus 3 root 27 let us take 3 common that is root 8 plus root 27 so as you can see over here 3 root 8 that is equal to 3 into 4 root 2 plus 3 root 3. 12 root 2 plus 3 root 3 and that is not equal to lhs so rhs is not equal to lhs that is 12 root 2 plus 3 root 3 is not equal to 3 root 35 so if you have any queries you can drop it in comment section and subscribe to lido for more q a thank you for watching"

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