Final answer to the problem
$\sqrt{3}\sqrt[3]{\left(3\right)^{2}}\sqrt[4]{\left(3\right)^{3}}$
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Step-by-step Solution
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1
Rewrite $9$ as a power
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$\sqrt{3}\sqrt[3]{3^{2}}\sqrt[4]{27}$
Learn how to solve problems step by step online. Simplify the product of radicals 3^(1/2)9^(1/3)27^(1/4). Rewrite 9 as a power. Rewrite 27 as a power. Split 3^{3} as a product of powers of 3. Simplify \sqrt[3]{3^{2}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{3}.
Final answer to the problem
$\sqrt{3}\sqrt[3]{\left(3\right)^{2}}\sqrt[4]{\left(3\right)^{3}}$
Exact Numeric Answer
$8.212633$
