Question

please help me
rationalize 1÷3-2√2

Answer 1

$\frac{1}{3 - 2\sqrt{2}}$

By Rationalization,

$=> \frac{1}{3 - 2\sqrt{2}} \times \frac{3 + 2 \sqrt{2}}{3 + 2\sqrt{2}}\\ \\ \\ => \frac{3 + 2\sqrt{2}}{( 3 - 2\sqrt{2} )( 3 + 2\sqrt{2})} \\ \\ \\ => \frac{3 + 2\sqrt{2}}{9^2 - ( 2\sqrt{2} )^2} \\ \\ \\ => \frac{3 + 2\sqrt{2}}{9 - 8} \\ \\ \\ => \frac{3 + 2\sqrt{2}}{1 }\\ \\ \\ => 3 + 2\sqrt{2}$

Answer 2

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