Question

simplify 6+4√2/6-4√2 do it by rationalizing the denominator

Answer 1

6 + 4 root 2 by 6 x + 4 by root -2

Answer 2

$\huge\bold{SOLUTION}$

$\frac{6 + 4 \sqrt{2} }{6 - 4 \sqrt{2} }$

$by \: rationalising \: it \: we \: get$

$= > \frac{6 + 4 \sqrt{2} }{6 - 4 \sqrt{2} } \times \frac{6 + 4 \sqrt{2} }{6 + 4 \sqrt{2} }$

$= > \frac{ (6 + 4 \sqrt{2} )^{2} }{ {(6)}^{2} - {(4 \sqrt{2} })^{2} }$

$= > \frac{(6)^{2} + (4 \sqrt{2} )^{2} + 2 \times 6 \times 4 \sqrt{2} }{36 - 32}$

$= > \frac{36 + 32 + 48 \sqrt{2} }{4}$

$= > \frac{68 + 48 \sqrt{2} }{4}$

$after \: solving \: this \: we \: get$

$= > \frac{4(17 + 12 \sqrt{2}) }{4}$

$= > 17 + 12 \sqrt{2}$

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