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