What is sqrt(\sqrt[3]{15a^2b)} ?

The solution to sqrt(\sqrt[3]{15a^2b)} is \sqrt[6]{15}\sqrt[6]{a^2b}

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simplify sqrt(\sqrt[3]{15a^2b)}

simplify

Solution steps

Apply radical rule:

= ((15 a^{2} b)^{\frac{1}{3}})^{\frac{1}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= (15 a^{2} b)^{\frac{1}{3} \cdot \frac{1}{2}}

\frac{1}{3} \cdot \frac{1}{2} = \frac{1}{6}

= (15 a^{2} b)^{\frac{1}{6}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

e^{t^{2}} \cdot e^{t}

e^{- (t - 2)}

2 4 - x (2 x 4 - x)

e^{t - x} \cdot e^{4 x}

8.2 \cdot 1 0^{- 1}

What is sqrt(\sqrt[3]{15a^2b)} ?
The solution to sqrt(\sqrt[3]{15a^2b)} is \sqrt[6]{15}\sqrt[6]{a^2b}