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

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

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

simplify

3

Decimal Notation

1.73205 \dots

Solution steps

Apply radical rule:

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

3^{\frac{1}{3}} \cdot 3^{\frac{1}{6}} = 3^{\frac{1}{3} + \frac{1}{6}}

= 3^{\frac{1}{3} + \frac{1}{6}}

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

= 3^{\frac{1}{2}}

Apply exponent rule:

a^{\frac{1}{2}} = a

3^{\frac{1}{2}} = 3

= 3

(x - 1) (x - 10)

x^{2} - \frac{4}{3} x + \frac{4}{9}

\frac{- 60}{- 5}

23 \cdot 7

3.8 \cdot 1 0^{2}

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