Question

simplify rationalizaing denometor 1upon3+√2​

Answer 1

hi

$\frac{1}{3 + \sqrt{2} } = \frac{1}{3 + \sqrt{2} } \times \frac{3 - \sqrt{2} }{3 - \sqrt{2} }$

$= \frac{3 - \sqrt{2} }{3 {}^{2} - { (\sqrt{2)} }^{2} }$

$= \frac{3 - \sqrt{2} }{9 - 2}$

$= \large{ \boxed{\frac{3 - \sqrt{2} }{7} }}$

Hope it helps you

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