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

The solution to sqrt(\sqrt[3]{3*3)} is cube root of 3

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

simplify

Decimal Notation

1.44224 \dots

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

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

= (3 \cdot 3)^{\frac{1}{6}}

Multiply the numbers:

3 \cdot 3 = 9

Factor the number:

9 = 3^{2}

Apply exponent rule:

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

x \times x + 1

x

e^{- l n (x)}

(8 x^{7} z) (x^{9} z)

What is sqrt(\sqrt[3]{3*3)} ?
The solution to sqrt(\sqrt[3]{3*3)} is cube root of 3