Note that [tex]\sqrt{x^2}=x[/tex].
[tex]\sqrt{a\cdot b^2}=\sqrt{a}\sqrt{b^2}=b\sqrt{a}[/tex]
Hope this helps.
r3t40
Answer:
Step-by-step explanation:
You need to remember the following property:
[tex]\sqrt[n]{a^n} =a^{\frac{n}{n}}=a^1=a[/tex]
You have the following expression provided:
[tex]\sqrt{ab^2}[/tex]
Applying the property mentioned before, you can rewrite it:
[tex]=a^{\frac{1}{2}}b^{\frac{2}{2}}[/tex]
Therefore, you get:
[tex]=a^{\frac{1}{2}}b^1=b\sqrt{a}[/tex]
You can observe that this matches with the second option.
