What is sqrt(\sqrt{x^2+y^2)} ?

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

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simplify sqrt(\sqrt{x^2+y^2)}

simplify

x^{2} + y^{2}

Solution steps

x^{2} + y^{2}

Apply radical rule:

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

= ((x^{2} + y^{2})^{\frac{1}{2}})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

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

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

= (x^{2} + y^{2})^{\frac{1}{4}}

(\frac{( y ^{- 2} ) ^{0} \cdot y x ^{4}}{- x ^{2} y ^{2}})^{- 4}

x e^{- 0.5 x^{2}}

e^{- 0.2987 \cdot l n (1.1)}

\frac{n ^{e}}{n ^{π}}

(32 - x)^{- \frac{1}{5}}

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