What is sqrt(\sqrt{x^2-16)} ?

The solution to sqrt(\sqrt{x^2-16)} is \sqrt[4]{x^2-16}

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simplify sqrt(\sqrt{x^2-16)}

simplify

x^{2} - 16

Solution steps

x^{2} - 16

Apply radical rule:

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

= ((x^{2} - 16)^{\frac{1}{2}})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= (x^{2} - 16)^{\frac{1}{2} \cdot \frac{1}{2}}

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

= (x^{2} - 16)^{\frac{1}{4}}

8 \cdot 60 e^{- \frac{60}{50}}

π 5^{2} \cdot 5

x^{4} e^{- x^{2}}

50 \cdot e^{- 0.75 \cdot 6}

483.36 (1.03)^{- 10}

What is sqrt(\sqrt{x^2-16)} ?
The solution to sqrt(\sqrt{x^2-16)} is \sqrt[4]{x^2-16}