Question

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

Answer 1

Note that $\sqrt{x^2}=x$.

$\sqrt{a\cdot b^2}=\sqrt{a}\sqrt{b^2}=b\sqrt{a}$

Hope this helps.

r3t40

Answer 2

Answer:

Second option: $b\sqrt{a}$

Step-by-step explanation:

You need to remember the following property:

$\sqrt[n]{a^n} =a^{\frac{n}{n}}=a^1=a$

You have the following expression provided:

$\sqrt{ab^2}$

Applying the property mentioned before, you can rewrite it:

$=a^{\frac{1}{2}}b^{\frac{2}{2}}$

Therefore, you get:

$=a^{\frac{1}{2}}b^1=b\sqrt{a}$

You can observe that this matches with the second option.