What is sqrt(\sqrt{25-x^2)} ?

The solution to sqrt(\sqrt{25-x^2)} is \sqrt[4]{-x^2+25}

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simplify sqrt(\sqrt{25-x^2)}

simplify

25 - x^{2}

Solution steps

25 - x^{2}

Apply radical rule:

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

= ((25 - x^{2})^{\frac{1}{2}})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= (25 - x^{2})^{\frac{1}{2} \cdot \frac{1}{2}}

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

= (25 - x^{2})^{\frac{1}{4}}

(27 a^{2})^{9 - k}

e^{- 1.4598}

x^{2} \cdot 4 (x - 4)^{2}

x^{3} (4 y^{3})

What is sqrt(\sqrt{25-x^2)} ?
The solution to sqrt(\sqrt{25-x^2)} is \sqrt[4]{-x^2+25}