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Multiplication of numbers Calculator

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1

Solved example of multiplication of numbers

$9^{\frac{1}{3}}\left(\sqrt{2}+1\right)^{\frac{1}{3}}\left(27-\sqrt{162}\right)^{\frac{1}{6}}$
2

Divide $1$ by $6$

$\left(\sqrt[3]{9}\right)\sqrt[3]{\sqrt{2}+1}\sqrt[6]{27-1\left(\sqrt{162}\right)}$
3

The square root of $162$ is $12.7279$

$\left(\sqrt[3]{9}\right)\sqrt[3]{1.4142+1}\sqrt[6]{27-1\cdot 12.7279}$
4

Calculate the power $\sqrt[3]{9}$

$\sqrt{4}\sqrt[3]{1.4142+1}\sqrt[6]{27-1\cdot 12.7279}$
5

Apply the formula: $-x$, where $x=12.7279$

$\sqrt{4}\sqrt[3]{1.4142+1}\sqrt[6]{27-12.7279}$
6

Subtract the values $27$ and $-12.7279$

$\sqrt{4}\sqrt[3]{1.4142+1}\left(\sqrt[6]{14.2721}\right)$
7

Add the values $\sqrt{2}$ and $1$

$\sqrt{4}\left(\sqrt[3]{2.4142}\right)\left(\sqrt[6]{14.2721}\right)$
8

The square root of $14.2721$ is $\sqrt{2}$

$\sqrt{4}\left(\sqrt[3]{2.4142}\right)\sqrt{2}$
9

Calculate the power $\sqrt[3]{2.4142}$

$\sqrt{4}\cdot \sqrt[3]{3}\cdot \sqrt{2}$
10

Multiply $\frac{31}{\sqrt{2}}$ times $\sqrt{2}$

$4.346$

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