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Popular >

simplify sqrt(3)*\sqrt[5]{3}

Solution

simplify

Solution

+1

Decimal Notation

2.15766 \dots

Solution steps

Apply radical rule:

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

3 = 3^{\frac{1}{2}}

Apply radical rule:

= 3^{\frac{1}{2}} \cdot 3^{\frac{1}{5}}

Apply exponent rule:

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

3^{\frac{1}{2}} \cdot 3^{\frac{1}{5}} = 3^{\frac{1}{2} + \frac{1}{5}}

= 3^{\frac{1}{2} + \frac{1}{5}}

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

= 3^{\frac{7}{10}}

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Frequently Asked Questions (FAQ)

What is sqrt(3)*\sqrt[5]{3} ?
The solution to sqrt(3)*\sqrt[5]{3} is \sqrt[10]{3^7}