Solve 7^0.51/(2^0.5-12^(1/4)+2)

\sqrt{7}\frac{1}{2+\sqrt{2}-2^{\frac{1}{4}}}

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Answer

$\frac{\sqrt[3]{31}}{2}$

Step by step solution

Problem

$\sqrt{7}\frac{1}{2+\sqrt{2}-2^{\frac{1}{4}}}$
1

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

$\frac{1}{2^{\left(\frac{1}{4}\right)}\left(-1\right)+3.4142}\cdot \sqrt{7}$
2

Divide $1$ by $4$

$\frac{1}{\sqrt[4]{2}\left(-1\right)+3.4142}\cdot \sqrt{7}$
3

Calculate the square root of $2$

$\frac{1}{1.1892\left(-1\right)+3.4142}\cdot \sqrt{7}$
4

Multiply $-1$ times $\frac{\sqrt[3]{31}}{2}$

$\frac{1}{3.4142-1.1892}\cdot \sqrt{7}$
5

Subtract the values $3.4142$ and $-\frac{\sqrt[3]{31}}{2}$

$\frac{1}{2.225}\cdot \sqrt{7}$
6

Divide $1$ by $\frac{89}{40}$

$\frac{40}{89}\cdot \sqrt{7}$
7

Multiply $\sqrt{7}$ times $\frac{40}{89}$

$\frac{\sqrt[3]{31}}{2}$

Answer

$\frac{\sqrt[3]{31}}{2}$

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Problem Analysis

Main topic:

Division of numbers

Time to solve it:

0.19 seconds

Views:

77