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Popular >

simplify \sqrt[5]{2}*sqrt(2)

Solution

simplify

Solution

+1

Decimal Notation

1.62450 \dots

Solution steps

Apply radical rule:

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

Apply radical rule:

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

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

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

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

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

\frac{1}{5} + \frac{1}{2} = \frac{7}{10}

= 2^{\frac{7}{10}}

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Frequently Asked Questions (FAQ)

What is \sqrt[5]{2}*sqrt(2) ?
The solution to \sqrt[5]{2}*sqrt(2) is \sqrt[10]{2^7}