Question

Which expression is equivalent to sqrt 900f^6/100g^4

Answer 1

3f³/g²

Explanation:

√(900f^6/100g^4) =√(9f^6/g^4)=3f³/g²

Answer 2

`[3f^(3)g^(-2)]`

Explanation:

The given expression is
`\sqrt{(900f^(6) )/(100g^(4))}`

We can rewrite the expression as
`\sqrt{((30f^(3))^(2))/((10g^(2))^(2))}`

Now we can remove the radical of the expression =
`(30f^(3) )/(10g^(2) )`

=
`[(3f^(3) )/(g^(2))]`

=
`[3f^(3)g^(-2)]`

=
`[3f^(3)g^(-2)]` is the answer.