Final answer to the problem
$2\sqrt{2}$
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Step-by-step Solution
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- Write in simplest form
- Prime Factor Decomposition
- Solve by quadratic formula (general formula)
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- Factor
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1
When multiplying two powers that have the same base ($\sqrt[4]{8}$), you can add the exponents
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$\left(\sqrt[4]{8}\right)^2$
Learn how to solve problems step by step online. Simplify the product of radicals 8^(1/4)8^(1/4). When multiplying two powers that have the same base (\sqrt[4]{8}), you can add the exponents. Simplify \left(\sqrt[4]{8}\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{4} and n equals 2. Rewrite 8 as a power. Split 2^{3} as a product of powers of 2.
Final answer to the problem
$2\sqrt{2}$
Exact Numeric Answer
$2.828427$
