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Simplify
$\frac{β3 + β2}{β3 - β2}$
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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