Question

Find the volume of a 3+root 2/3-root 2=a+broot2 solution

Answer 1

Hey friend,
Here is the answer you were looking for:
$\frac{3 + \sqrt{2} }{3 - \sqrt{2} } = a + b \sqrt{2} \\ \\ on \: rationalizing \: the \: denominator \: we \: get \\ \\ = \frac{3 + \sqrt{2} }{3 - \sqrt{2} } \times \frac{3 + \sqrt{2} }{3 + \sqrt{2} } \\ \\ = \frac{ {(3)}^{2} + {( \sqrt{2} })^{2} + 2 \times 3 \times \sqrt{2} }{ {(3)}^{2} - {( \sqrt{2}) }^{2} } \\ \\ = \frac{9 + 2 + 6 \sqrt{2} }{9 - 2} \\ \\ = \frac{11 + 6 \sqrt{2} }{7} \\ \\ a = \frac{11}{7} \\ \\ b = \frac{6}{7}$

Hope this helps!!!!

@Mahak24

Thanks...
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