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Popular >

simplify \sqrt[10]{25^2}

Solution

simplify

Solution

+1

Decimal Notation

1.90365 \dots

Solution steps

Apply radical rule:

= (2 5^{2})^{\frac{1}{10}}

Apply exponent rule:

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

= 2 5^{2 \cdot \frac{1}{10}}

2 \cdot \frac{1}{10} = \frac{1}{5}

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

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Frequently Asked Questions (FAQ)

What is \sqrt[10]{25^2} ?
The solution to \sqrt[10]{25^2} is \sqrt[5]{25}