What is sqrt(\sqrt[3]{((144x^4))/((12x)))} ?

The solution to sqrt(\sqrt[3]{((144x^4))/((12x)))} is \sqrt[6]{12}sqrt(x)

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simplify sqrt(\sqrt[3]{((144x^4))/((12x)))}

simplify

Solution steps

Apply radical rule:

= ((\frac{144 x ^{4}}{12 x})^{\frac{1}{3}})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= (\frac{144 x ^{4}}{12 x})^{\frac{1}{3} \cdot \frac{1}{2}}

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

= (\frac{144 x ^{4}}{12 x})^{\frac{1}{6}}

\frac{144 x ^{4}}{12 x} = 12 x^{3}

Apply radical rule:

assuming

a \geq 0, b \geq 0

Apply exponent rule:

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

x^{3} = x^{0.5 \cdot 6} = (x)^{6}

Apply radical rule:

assuming

a \geq 0

3 (1.3)^{- 1}

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

- 999999 e^{- 999999}

e^{- l n (c) os x}

3 (7.2 \cdot 1 0^{- 6})

What is sqrt(\sqrt[3]{((144x^4))/((12x)))} ?
The solution to sqrt(\sqrt[3]{((144x^4))/((12x)))} is \sqrt[6]{12}sqrt(x)