Question

What is the square root of ab2?
ab
b sq. rt. a
a2b2
b2

Answer 1

Note that
`√(x^2)=x`.

`√(a\cdot b^2)=√(a)√(b^2)=b√(a)`

Hope this helps.

r3t40

Answer 2

Second option:
`b√(a)`

Explanation:

You need to remember the following property:

`\sqrt[n]{a^n} =a^{(n)/(n)}=a^1=a`

You have the following expression provided:

`√(ab^2)`

Applying the property mentioned before, you can rewrite it:

`=a^{(1)/(2)}b^{(2)/(2)}`

Therefore, you get:

`=a^{(1)/(2)}b^1=b√(a)`

You can observe that this matches with the second option.