What is sqrt(\sqrt[4]{25a^2)} ?

The solution to sqrt(\sqrt[4]{25a^2)} is \sqrt[4]{5}\sqrt[8]{a^2}

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simplify sqrt(\sqrt[4]{25a^2)}

simplify

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

= (25 a^{2})^{\frac{1}{4} \cdot \frac{1}{2}}

\frac{1}{4} \cdot \frac{1}{2} = \frac{1}{8}

= (25 a^{2})^{\frac{1}{8}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

1.65 \cdot 1 0^{- 5}

((- \frac{1}{3})^{3})^{- 3}

(c^{2} h) (3 c h^{3}) (2 c^{3} h^{4})

1.6 e^{- 4 (0.15)}

What is sqrt(\sqrt[4]{25a^2)} ?
The solution to sqrt(\sqrt[4]{25a^2)} is \sqrt[4]{5}\sqrt[8]{a^2}