Question

What is the simplest form of `sqrt(80x7y5)`?

Answer 1

`4x^3y^2sqrt(5xy)`

Explanation:

I'm assuming you meant `sqrt(80x^(7)y^(5))`
If so, you take the square root of 80, shown as..

`sqrt80`
`sqrt(4*4*5)`
`2*2sqrt5`
`4sqrt5`

then we divide the powers by 2, if they're even, or if they're odd, subtract one (which will stay inside the radical) then divide by 2

for `x`:
`sqrt(x^7)`
`sqrt(x^6*x`
`x^3sqrtx`

and for `y`:
`sqrt(y^5)`
`sqrt(y^4*y)`
`y^2sqrty`

then multiply the answers together, and there you have it