Question

Simplify sqrt 8y/sqrt y

Answer 1

`( √(8y) )/( √(y) ) = \\`

`\sqrt{ (8y)/(y) } = \\`

`√(8) =`

`\sqrt{ {2}^(2) * 2 } =`

`\sqrt{ {2}^(2) } √(2) =`

`√(4) √(2) =`

`2 √(2)`

Answer 2

`(√(8y) )/(√(y) )`

Answer:

`2√(2)`

I turned the numerator into an exponent:
`2 (3)/(2)`

`\frac{2^{(3)/(2)}√(y)}{√(y)}`

The
`√(y)` will cancel out, leaving
`2 (3)/(2)`.

`2^{(3)/(2)}=2√(2)`

Hope this helps!!!