What is sqrt(\sqrt[3]{\sqrt[3]{15)}} ?

The solution to sqrt(\sqrt[3]{\sqrt[3]{15)}} is \sqrt[18]{15}

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simplify sqrt(\sqrt[3]{\sqrt[3]{15)}}

simplify

Decimal Notation

1.16235 \dots

Solution steps

Apply radical rule:

= (1 5^{\frac{1}{9}})^{\frac{1}{2}}

Apply exponent rule:

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

= 1 5^{\frac{1}{9} \cdot \frac{1}{2}}

\frac{1}{9} \cdot \frac{1}{2} = \frac{1}{18}

= 1 5^{\frac{1}{18}}

(3 x^{2}) (5 x^{8})

4.5 (4.5)^{2} (0.004)

1.5 x 1 0^{- 11}

(4 x^{5} y^{3}) (5 x^{2} y^{5})

(2 b) (25 b d^{5})

What is sqrt(\sqrt[3]{\sqrt[3]{15)}} ?
The solution to sqrt(\sqrt[3]{\sqrt[3]{15)}} is \sqrt[18]{15}