Question

How do you simplify `sqrt(8/36)`?

Answer 1

`sqrt(8/36)=(2/3)sqrt(2)`

Explanation:

`sqrt(8/36)=?`
`sqrt(a/b)=(sqrt(a)/sqrt(b))`
For a=8, b=36;
`sqrt(8/36)=(sqrt(8)/sqrt(36))`
`sqrt(8)=sqrt(4xx2)=sqrt(4)xxsqrt(2)=2sqrt(2)`
`sqrt(36)=6`
`(sqrt(8)/sqrt(36))=(2sqrt(2))/6`
`sqrt(8/36)=(2/3)sqrt(2)`

Answer 2

`(sqrt(2))/(3)`

Explanation:

`=sqrt(8/36)`

`= sqrt(8)/sqrt(36)`

`= sqrt(2*2*2)/sqrt(2*2*3*3)`

`= sqrt(2^2*2)/sqrt(2^2*3^2)`

`= (2sqrt(2))/(2*3)`

`= (2sqrt(2))/(6)`

`= (sqrt(2))/(3)`