Question

Simplify completely sqrt of 20Y^8

Answer 1

Final answer is
`2y^4 √(5)`.

Explanation:

Given expression is
`√(20y^8)`.

Now we need to smplify the given expression
`√(20y^8)`.

So begin with factoring 20 into two parts so that one part is perfect square number.

`√(20y^8)`

`=√(4 * 5y^8)`

`=√(4 y^8) * √(5)`

`=2y^4 * √(5)`

Hence final answer is
`2y^4 √(5)`.