Final Answer
$3$
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Step-by-step Solution
Problem to solve:
$9^{\frac{1}{3}}\left(\sqrt{2}+1\right)^{\frac{1}{3}}\left(27-2\sqrt{162}\right)^{\frac{1}{6}}$
Specify the solving method
1
Divide $1$ by $3$
$\sqrt[3]{9}\left(\sqrt{2}+1\right)^{\frac{1}{3}}\left(27-2\sqrt{162}\right)^{\frac{1}{6}}$
Learn how to solve differential calculus problems step by step online.
$\sqrt[3]{9}\left(\sqrt{2}+1\right)^{\frac{1}{3}}\left(27-2\sqrt{162}\right)^{\frac{1}{6}}$
Learn how to solve differential calculus problems step by step online. Multiply 9^(1/3)(2^1/2+1)^(1/3)(27-2162^1/2)^(1/6). Divide 1 by 3. Divide 1 by 3. Divide 1 by 6. Calculate the square root of 2.
Final Answer
$3$