Solve ((5^0.5+1)^2)/(5^0.5-1)-35^0.5

\frac{\left(\sqrt{5}+1\right)^2}{\sqrt{5}-1}-3\sqrt{5}

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Answer

$\sqrt{3}$

Step by step solution

Problem

$\frac{\left(\sqrt{5}+1\right)^2}{\sqrt{5}-1}-3\sqrt{5}$
1

Subtract the values $\sqrt{5}$ and $-1$

$2.2361\left(-3\right)+\frac{\left(1+2.2361\right)^2}{1.2361}$
2

Add the values $\sqrt{5}$ and $1$

$2.2361\left(-3\right)+\frac{3.2361^2}{1.2361}$
3

Multiply $-3$ times $\sqrt{5}$

$\frac{3.2361^2}{1.2361}-6.7082$
4

Calculate the power

$\frac{10.4721}{1.2361}-6.7082$
5

Divide $10.4721$ by $\sqrt[3]{2}$

$8.4721-6.7082$
6

Subtract the values $8.4721$ and $-\sqrt{45}$

$\sqrt{3}$

Answer

$\sqrt{3}$

Problem Analysis

Main topic:

Division of numbers

Time to solve it:

0.24 seconds

Views:

128