Question

What is the square root of ab^2

Answer 1

`√(ab^2) = b√(a)`

Answer 2

`b\sqrt a`

Explanation:

We have to simplify the expression
`√(ab^2)`

We can use the rules:

`√(xy)=\sqrt x\cdot\sqrt y...(i)\\\\√(x^2)=x...(ii)`

Using the rule (i), we can rewrite the expression as

`√(ab^2)\\\\=\sqrt a\cdot√(b^2)`

Now, using the rule (ii), we have

`\sqrt a\cdot√(b^2)\\\\=\sqrt a\cdot b\\\\b\sqrt a`

The simplified form is
`b\sqrt a`