Question

Hi! Can someone help me with the following question?

√32 - √200 + 3√50

Please show your working out, thankyou!!

Answer 1

9√2

Explanation:

√32 = √(16*2) = √(4²*2)=4√2

√200 = √(2*100) = √2*10²) = 10√2

3√50 = 3√(25*2) = 3√(5²*2) = 15√2

the original can then be rewritten as

4√2 - 10√2 + 15√2 = 9√2