Question

How do you simplify `sqrt5/sqrt15`?

Answer 1

`sqrt(3)/3`

Explanation:

Multiply a number by 1 and its inherent value does not change. Multiply by 1 but in an equivalent form and you do not change its value but you do change the way it looks.

Given:`" "sqrt(5)/sqrt(15)`

Multiply by 1 but in the form `1=sqrt(15)/sqrt(15)` giving

`(sqrt(5)sqrt(15))/(sqrt(15)sqrt(15))`

`(sqrt(5)sqrt(15))/(15)`

`sqrt(5xx15)/15`

`sqrt(5xx5xx3)/15`

`(5sqrt(3))/15`

`sqrt(3)/3`

Answer 2

`(sqrt5)/(sqrt15)=sqrt3/3`

Explanation:

`(sqrt5)/(sqrt15)=cancel(sqrt5)/(cancel(sqrt5)*sqrt3)=1/sqrt3=sqrt3/(sqrt3*sqrt3)=sqrt3/(sqrt3)^²=sqrt3/3`