What is sqrt(\sqrt{x^2+6x)} ?

The solution to sqrt(\sqrt{x^2+6x)} is \sqrt[4]{x^2+6x}

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simplify sqrt(\sqrt{x^2+6x)}

simplify

x^{2} + 6 x

Solution steps

x^{2} + 6 x

Apply radical rule:

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

= ((x^{2} + 6 x)^{\frac{1}{2}})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= (x^{2} + 6 x)^{\frac{1}{2} \cdot \frac{1}{2}}

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

= (x^{2} + 6 x)^{\frac{1}{4}}

- 24 e n t r e^{8}

2^{3 \circ} 2^{7}

\frac{π ^{3}}{2 ^{3}}

e^{- x (0)}

(3 x^{2} y^{3}) (4 x^{m + 1} y^{m + 2})

What is sqrt(\sqrt{x^2+6x)} ?
The solution to sqrt(\sqrt{x^2+6x)} is \sqrt[4]{x^2+6x}