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

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

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simplify sqrt(\sqrt{cos(x))}

simplify

cos (x)

Solution steps

cos (x)

Apply radical rule:

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

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

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

- a \cdot b \cdot t^{b - 1} \cdot e^{- a \cdot t^{b}}

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

1 - cos (θ) 1 + cos (θ)

- (\infty^{2} + 1) e^{- \infty}

(3 x - 1)^{3}

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