Question

What is the square root of ab2?
ab
ba
a²b2
B2

Answer 1

If you mean
`\sqrt{ab^(2)` then the answer is
`b√(a)`

Explanation:

Answer 2

ab

Explanation:

Original expression:

`\sqrt[]{(ab)^2}`

Apply the rule
`(xy)^c=x^c \cdot y^c`

`\implies \sqrt[]{(ab)^2}=\sqrt[]{a^2 \cdot b^2}`

Apply the rule
`√(xy)=√(x) √(y)`

`\implies \sqrt[]{a^2 \cdot b^2}=√(a^2) √(b^2)`

Apply the rule
`√(x^2)=x`

`\implies √(a^2) √(b^2)=ab`