What is sqrt(\sqrt{14x)} ?

The solution to sqrt(\sqrt{14x)} is \sqrt[4]{14}\sqrt[4]{x}

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simplify sqrt(\sqrt{14x)}

simplify

14 x

Solution steps

14 x

Apply radical rule:

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

= ((14 x)^{\frac{1}{2}})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= (14 x)^{\frac{1}{2} \cdot \frac{1}{2}}

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

= (14 x)^{\frac{1}{4}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

7200 (1 + 0.11)^{- 2}

90 e^{(- 20 \cdot 0.05)}

7200 (1 + 0.11)^{- 4}

- 4.61 x 1 0^{- 2}

What is sqrt(\sqrt{14x)} ?
The solution to sqrt(\sqrt{14x)} is \sqrt[4]{14}\sqrt[4]{x}