Answer:
\(b\sqrt a\)
Step-by-step explanation:
We have to simplify the expression \(\sqrt{ab^2}\)
We can use the rules:
\(\sqrt{xy}=\sqrt x\cdot\sqrt y...(i)\\\\\sqrt{x^2}=x...(ii)\)
Using the rule (i), we can rewrite the expression as
\(\sqrt{ab^2}\\\\=\sqrt a\cdot\sqrt{b^2}\)
Now, using the rule (ii), we have
\(\sqrt a\cdot\sqrt{b^2}\\\\=\sqrt a\cdot b\\\\b\sqrt a\)
The simplified form is \(b\sqrt a\)
