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Addition and Subtraction of Like and Unlike Surds

Solve: √5-√2...

Question

Solve:
$\frac{\sqrt{5} - \sqrt{2}}{\sqrt{5} + \sqrt{2}} + \frac{\sqrt{5} + \sqrt{2}}{\sqrt{5} - \sqrt{2}}$

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Solution

$\frac{\sqrt{5} - \sqrt{2}}{\sqrt{5} + \sqrt{2}} + \frac{\sqrt{5} + \sqrt{2}}{\sqrt{5} + \sqrt{2}}$
$\frac{(\sqrt{5} - \sqrt{2})^{2} + (\sqrt{5} + \sqrt{2})^{2}}{(\sqrt{5} + \sqrt{2}) (\sqrt{5} - \sqrt{2})}$

$\frac{5 + 4 - 2 \sqrt{10} + 5 + 4 + 2 \sqrt{10}}{5 - 2}$

$\frac{18}{3} = 6$

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Similar questions

\frac{\sqrt{\sqrt{5} + 2} + \sqrt{\sqrt{5} - 2}}{\sqrt{\sqrt{5} + 1}} - \sqrt{3 - 2 \sqrt{2}}

\frac{5}{2} - \frac{3}{5} \times \frac{7}{2} + \frac{3}{5} \times (\frac{- 2}{3})

\frac{7 + 3 \sqrt{5}}{2 + \sqrt{5}} - \frac{7 - 3 \sqrt{5}}{2 - \sqrt{5}}

\frac{2}{5} + \frac{3}{5^{2}} + \frac{2}{5^{3}} + \frac{3}{5^{4}} + \frac{2}{5^{5}} + \frac{3}{5^{6}} + . . . . . .

Q. Solve for x:

\frac{3 x - 5}{5} - \frac{7 x - 2}{2} = 5

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Addition and Subtraction of Like and Unlike Surds

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