Simplify$\frac{√3 + √2}{√3 - √2}$

Given:

$\frac{√3 + √2}{√3 - √2}$

To do:  Simplify the given expression.

Solution:

$\frac{√3 + √2}{√3 - √2}$

= $\frac{√3 + √2}{√3 - √2}$   x  $\frac{√3 + √2}{√3 + √2}$

=$\frac{ (√3)^{2} + (√2)^{2} + 2x√3 x √2)}{3 - 2}$

= $\frac{3 + 2 + 2√6}{1}$

= 5 +  2√6 Answer

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Updated on: 10-Oct-2022

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