Question

If $P=\sqrt[3]{3\sqrt[3]{3a^9}}$, what is the value of P?

• A. $(a^3{)}^3$
• B. $a^3$
• C. $a^9$
• D. $a$

Answer 1

The correct option is D $a$

$NowP=\sqrt[3]{3\sqrt[3]{3a^9}}$

$\to p=\sqrt[3]{3a^{\frac{9}{3}}}$

$\to P=\sqrt[3]{3a^3}$

$\to P=a^{\frac{3}{3}}$

$\to P=a$