Question

What is the simplified form of square root of 400x exponent 100

Answer 1

Simplified root is 20x exponent of 50. :)

Answer 2

Answer:

$20x^{50}$

Step-by-step explanation:

WE need to find the simplified form of

$\sqrt{400x^{100}}$

We take square root separately

$\sqrt{400}=\sqrt{20*20}=20$

We know x^(m+n) x^m * x^n

x^100 can be written as x^50+50 = x^50 * x^50

$\sqrt{x^{100}}=\sqrt{x^{50}*x^{50}}=x^{50}$

so, $\sqrt{400x^{100}}= 20x^{50}$