express in simplest radical form

Question

square root of 25x^7y^8

Answer 1

√(25x⁷ y⁸) correct?

 

we can split up each number under the radical because we are multiplying so we have:

 

√25 • √x⁷ • √y⁸ and now we can solve each individual one

 

√25 = 5

 

√x⁷  can't be simplified any further

 

√y⁸ = y⁴ 

 

now the answer is:

 

5y⁴ √x⁷