Question

How do you simplify `sqrt(98/x^2)`?

Answer 1

`(7sqrt2)/x`

Explanation:

The square root of a quotient is the same as the quotient of the square roots, so we can rewrite this as

`sqrt98/sqrt(x^2)`

Since `98=49*2`, `sqrt98=sqrt49sqrt2`. The square root of something squared is that something, so our entire expression simplifies to

`(sqrt49sqrt2)/x`

`=>(7sqrt2)/x`

Hope this helps!