Question

Rationalise the denominator of 5/4root2+3root3

Answer 1

Answer:

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Answer 2

$\textbf{\large{\pink{\underline{\underline{Step by step Explanation:-}}}}}$

$\frac{5}{4 \sqrt{2} + 3 \sqrt{3} } </strong><strong> \\ = \frac{5}{4 \sqrt{2} + 3 \sqrt{3} } \times \frac{4 \sqrt{2} - 3 \sqrt{3} }{4 \sqrt{2} - 3 \sqrt{3} } \\ = \frac{5(4 \sqrt{2} - 3 \sqrt{3} )}{(4 \sqrt{2} ) {}^{2} - (3 \sqrt{3} ) {}^{2} } \\ = \frac{5(4 \sqrt{2} - 3 \sqrt{3}) }{32 - 27} \\ = \frac{5(4 \sqrt{2} - 3 \sqrt{3} ) }{5} \\ = 4 \sqrt{2} - 3 \sqrt{3} \: ans$

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