Question

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

Answer 1

Simplified root is 20x exponent of 50. :)

Answer 2

`20x^(50)`

Explanation:

WE need to find the simplified form of

`\sqrt{400x^(100)}`

We take square root separately

`√(400)=√(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)`