how would u do simplelest radical form?

Question

1. x^2=square root of 50
2.x^2=square root of 4160

3.simplest radical form of 31.749
4.srf of 84

Answer 1

1. x^2 = square root of 50
think what number that u can divide by 50 which has the
square root: 50 divide by 25 = 2...
square root of 25 is 5...
so u know that: 50 = 25 * 2
then x^2= square root of (25 * 2)
= 5 square root of 2

2. the same way like number 1
4160 is 64 * 65
64 = 8^2
so x^2 = square root of (64*65)
= 8 square root of 65

Answer 2

you mean to reduce sqrt50 and sqrt4160 to simplest form, right?

Factorize 50 = 2*25
sqrt50 = sqrt25 *sqrt2 = 5sqrt2

Factorize 4160 = 64 * 65
sqrt4160 = 8sqrt65