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Popular >

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

Solution

simplify

Solution

+1

Decimal Notation

3.82362 \dots

Solution steps

Apply radical rule:

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

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

Apply radical rule:

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

Apply exponent rule:

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

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

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

\frac{1}{2} + \frac{1}{3} = \frac{5}{6}

= 5^{\frac{5}{6}}

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Frequently Asked Questions (FAQ)

What is sqrt(5)\sqrt[3]{5} ?
The solution to sqrt(5)\sqrt[3]{5} is \sqrt[6]{5^5}