What is 3sqrt(\sqrt{27)} ?

The solution to 3sqrt(\sqrt{27)} is 3\sqrt[4]{3^3}

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simplify 3sqrt(\sqrt{27)}

simplify

327

Solution steps

327

27 = 33

= 333

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

33 = 33

= 333

Apply radical rule:

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

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

Apply radical rule:

= 3 \cdot 3^{\frac{1}{2}} \cdot 3^{\frac{1}{4}}

Apply exponent rule:

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

3^{\frac{1}{2}} \cdot 3^{\frac{1}{4}} = 3^{\frac{1}{2} + \frac{1}{4}}

= 3 \cdot 3^{\frac{1}{2} + \frac{1}{4}}

\frac{1}{2} + \frac{1}{4} = \frac{3}{4}

= 3 \cdot 3^{\frac{3}{4}}

π r^{3} r

e^{- \frac{1}{2} \cdot 2}

(((2)^{3})^{5})^{7}

0.7725 \cdot 1 0^{- 3} \cdot 2970 \cdot (1 - \frac{1}{1.1373})

- 10 e^{- \frac{0}{2}} t cot (0) csc (0)