Answer:
If you mean [tex]\sqrt{ab^{2}[/tex] then the answer is [tex]b\sqrt{a}[/tex]
Step-by-step explanation:
Answer:
ab
Step-by-step explanation:
Original expression:
[tex]\sqrt[]{(ab)^2}[/tex]
Apply the rule [tex](xy)^c=x^c \cdot y^c[/tex]
[tex]\implies \sqrt[]{(ab)^2}=\sqrt[]{a^2 \cdot b^2}[/tex]
Apply the rule [tex]\sqrt{xy}=\sqrt{x} \sqrt{y}[/tex]
[tex]\implies \sqrt[]{a^2 \cdot b^2}=\sqrt{a^2} \sqrt{b^2}[/tex]
Apply the rule [tex]\sqrt{x^2}=x[/tex]
[tex]\implies \sqrt{a^2} \sqrt{b^2}=ab[/tex]
