Multiplying and Dividing Square Roots?

Question

try and show step by step work

sqrt50/sqrt2

4/sqrt5

sqrt2/sqrt10

4sqrtx^12/24sqrtx^2

15sqrt8x^16/5sqrt2x^4

(3sqrt5)(2sqrt10)

(2sqrtx)(5sqrtx^3)

Answer 1

I assume you are to rationalize the denominator. I'll show you how to do a couple. The rest are similar.

√50 / √2 * √2 / √2 = √100 / √4 = 10/2 = 5

4√(x^12) / (24√(x^2)) = 4x^6 / (24|x|) = |x^5| / 6