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What is (the square root of 7)- 5/(the square root of 2) + 5?

1 Answer

sankarankalyanam

Jun 20, 2018

$\Rightarrow - \frac{26 + \sqrt{14} - 5 \sqrt{2} - 5 \sqrt{7}}{23}$ $=> -(26 + sqrt14 - 5sqrt2 - 5sqrt7 )/23$

Explanation:

$\frac{\sqrt{7} - 5}{\sqrt{2} + 5}$ $(sqrt7 - 5) / (sqrt2 + 5)$

$\Rightarrow \frac{(\sqrt{7} - 5) (\sqrt{2} - 5)}{(\sqrt{2} + 5) (\sqrt{2} - 5)}$ $=> ((sqrt7 - 5)(sqrt2 - 5)) / ((sqrt2 + 5) (sqrt2 - 5))$

$\Rightarrow \frac{\sqrt{14} - 5 \sqrt{2} - 5 \sqrt{7} + 25}{2 - 25}$ $=> (sqrt14 - 5sqrt2 - 5sqrt7 + 25) / (2 - 25)$

$\Rightarrow - \frac{26 + \sqrt{14} - 5 \sqrt{2} - 5 \sqrt{7}}{23}$ $=> -(26 + sqrt14 - 5sqrt2 - 5sqrt7 )/23$

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