1.

Rationalize the denominator 1/ 3+root 2

Answer»
\frac{1}{3 + \sqrt{2} }


By RATIONALIZATION,


\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} \\ \\ \\ = > \frac{3 - \sqrt{2} }{7}


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