Question

$rationalise the denominator and simplify$


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Answer 1

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Answer 2

$\Huge{\green{\underline{\tt{Answer}}}}$

$\frac{5}{ 2\sqrt{2} - 3 } \times \frac{2 \sqrt{2} + 3 }{ 2\sqrt{2} } \\ \\ \\ \frac{5( 2\sqrt{2} + 3) }{8 -9} \\ \\ \\ - 10\sqrt{2} + 15$

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$\frac{7}{ \sqrt{5} - 3 \sqrt{3} } \times \frac{ \sqrt{5} + 3 \sqrt{3} }{ \sqrt{5} + 3 \sqrt{3} } \\ \\ \\ \frac{7( \sqrt{5} + 3 \sqrt{3} }{5 - 27} \\ \\ \\ - \frac{ 7 \sqrt{5} + 21 \sqrt{3} }{22}$

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