Question

Rationale the denominator and simplify 1+√2/3-2√2

Answer 1

$Given Equation, \frac{1+2\sqrt{2} }{3-2\sqrt{2} }$

$\frac{1+\sqrt{2} }{3-2\sqrt{2} } *\frac{3+2\sqrt{2} }{3+2\sqrt{2} }=\frac{3+2\sqrt{2}+3\sqrt{2}+4 }{9-8}$

$\frac{7+\sqrt{2}(3+2 )}{1}=7+5\sqrt{2}$

⇒$7+5\sqrt{2}$

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