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Popular >

simplify \sqrt[5]{(2+9pi)^2}

Solution

simplify

5 (2 + 9 π)^{2}

Solution

(9 π + 2)^{\frac{2}{5}}

+1

Decimal

3.91227 \dots

Solution steps

5 (2 + 9 π)^{2}

Apply radical rule:

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

= ((2 + 9 π)^{2})^{\frac{1}{5}}

Apply exponent rule:

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

= (2 + 9 π)^{2 \cdot \frac{1}{5}}

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

= (2 + 9 π)^{\frac{2}{5}}

= (9 π + 2)^{\frac{2}{5}}

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Frequently Asked Questions (FAQ)

What is \sqrt[5]{(2+9pi)^2} ?
The solution to \sqrt[5]{(2+9pi)^2} is (9pi+2)^{2/5}