Question

rationalise the denomenator 6+4 root2/6-4root2

Answer 1

Hey MATE!

Your answer is in above image.

Sorry for bad handwriting.

Hope it helps

Hakuna Matata :))

Answer 2

$\huge \color{orange}{Hey} \\ \\ \huge{\pink{ \boxed{Answer \: :-}}} \\ \\ \bf \: \frac{6 + 4 \sqrt{2} }{6 - 4 \sqrt{2} } \\ \\ = > \bf \: \frac{6 + 4 \sqrt{2} }{6 - 4 \sqrt{2} } \times \frac{6 + 4 \sqrt{2} }{6 + 4 \sqrt{2} } \\ \\ = > \bf \: \: \frac{ {(6 + 4 \sqrt{2} )}^{2} }{ {(6) }^{2} - {(4 \sqrt{2}) }^{2} } \\ \\ = > \bf \: \frac{ {(6)}^{2} + 2 \times 6 \times 4 \sqrt{2} + {(4 \sqrt{2}) }^{2} }{36 - 4 \times 4 \times 2} \\ \\ = > \bf \: \frac{36 + 48 \sqrt{2} + 32}{36 - 32} \\ \\ = > \bf \: \frac{68 + 48 \sqrt{2} }{4} \\ \\ = > \bf \: 4( \frac{17 + 12 \sqrt{2}}{4} ) \\ \\ = > \bf \: \: 17 + 12 \sqrt{2} \: \: \: \: \: \: \: \: \: \: \: \: answer \\ \\ \huge \boxed{Thank \: you} \:$