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Popular >

simplify sqrt(\sqrt[7]{25)}

Solution

simplify

Solution

+1

Decimal Notation

1.25849 \dots

Solution steps

Apply radical rule:

= (2 5^{\frac{1}{7}})^{\frac{1}{2}}

Apply exponent rule:

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

= 2 5^{\frac{1}{7} \cdot \frac{1}{2}}

\frac{1}{7} \cdot \frac{1}{2} = \frac{1}{14}

= 2 5^{\frac{1}{14}}

Factor the number:

25 = 5^{2}

Apply exponent rule:

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

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Frequently Asked Questions (FAQ)

What is sqrt(\sqrt[7]{25)} ?
The solution to sqrt(\sqrt[7]{25)} is \sqrt[7]{5}