Question

Sqrt(15)/5 *sqrt(20)

Answer 1

So,


`( √(15))/(5) * √(20)`

Simplify the square root of 20.

`√(20) = √(4) * √(5) = 2 * √(5) = 2 √(5)`


`( √(15))/(5) * ( 2√(5) )/(1)`

Multiply.

`( 2√(75))/(5)`

Simplify.

`( 2√(25)* √(3) )/(5)`

`( 2 * 5* √(3) )/(5)`

`(10√(3) )/(5)`

`(2√(3) )/(1)`

`2√(3)`

Answer 2

so if you mean:
`( √(15) )/(5)` times
`√(20)` then
simplify
rememeber

`x^{ (m)/(n) }= \sqrt[n]{ x^(m) }`
and

`[x^(n)]^(m)= x^(nm)`
and

`√(x) √(y)= √(xy)`

multiply


`( √(15) )/(5)` times
`( √(20) )/(1)`=
`( √(300))/(5)`

simplify √300
√300=√3 times √100
we know that √100=10 so
√300=√3 times 10
therefor

`( √(300) )/(5)` = 
`(10√(3))/(5)`=
`(5)/(5)` times
`(2√(3))/(1)` = 1 times
`(2√(3))/(1)`=2√3