Question

simplify vvvfoodirifiriririidi​

Answer 1

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Answer 2

Answer:

Rationalise both the fractions:

$\tt{\frac{1}{ \sqrt{2} + 1} \times \frac{\sqrt{2} - 1}{\sqrt{2} - 1}}$

=> $\tt{\frac{\sqrt{2} - 1}{2 - 1}}$

=> $\tt{\sqrt{2} - 1}$

Identity used: (a - b)(a + b) = a^2 - b^2

$\tt{\frac{1}{\sqrt{3} - \sqrt{2}} \times \frac{\sqrt{3} - \sqrt{2}}{\sqrt{3} - \sqrt{2}}}$

=> $\tt{\frac{\sqrt{3} - \sqrt{2}}{3-2}}$

=> $\tt{\sqrt{3} - \sqrt{2}}$

Add them:

=> $\tt{\sqrt{2} - 1 + \sqrt{3} - \sqrt{2}}$

=> $\tt{\sqrt{3} - 1}$

Thank you!

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