What is sqrt(\sqrt[3]{216*\sqrt{4)}} ?

The solution to sqrt(\sqrt[3]{216*\sqrt{4)}} is cube root of 2^2}\sqrt{3

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simplify sqrt(\sqrt[3]{216*\sqrt{4)}}

simplify

Decimal Notation

2.74945 \dots

Solution steps

Apply radical rule:

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

Factor integer

6 = 2 \cdot 3

Apply radical rule:

2 \cdot 3 = 23

Apply exponent rule:

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

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

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

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

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

a \cdot (e^{- (\frac{( x - b )}{c})})^{2}

(x^{4} + 4)^{- \frac{1}{2}}

- e^{- x} (x^{2} + 2 x + 2)

x^{5} y^{5} (9 x^{10} y^{7} + 2 x^{5} + 9 y^{5})

(42) 2

What is sqrt(\sqrt[3]{216*\sqrt{4)}} ?
The solution to sqrt(\sqrt[3]{216*\sqrt{4)}} is cube root of 2^2}\sqrt{3