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Popular >

simplify \sqrt[4]{3}(9sqrt(3))

Solution

simplify

Solution

9 \cdot 3^{\frac{3}{4}}

+1

Decimal Notation

20.51556 \dots

Solution steps

Apply exponent rule:

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

= 9 \cdot 3^{\frac{1}{4} + \frac{1}{2}}

3^{\frac{1}{4} + \frac{1}{2}} = 3^{\frac{3}{4}}

= 9 \cdot 3^{\frac{3}{4}}

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Frequently Asked Questions (FAQ)

What is \sqrt[4]{3}(9sqrt(3)) ?
The solution to \sqrt[4]{3}(9sqrt(3)) is 9*3^{3/4}