Question

if x=2√3 +2√2 find 1/x

Answer 1

$\frac{1}{x} = \frac{2 \sqrt{3} - 2 \sqrt{2} }{4}$
your answer is here
u have to rationalise th no. when it is in the form
1/x ok

Answer 2

x =2√3 + 2√2

1/x = 1/(2√3 + 2√2)


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By Rationalization,


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



$\frac{1}{x} = \frac{2 \sqrt{3} - 2 \sqrt{2}}{(2 \sqrt{3})^2 - (2 \sqrt{2})^2 } \\ \\ \\ \\ =\ \textgreater \ \frac{1}{x} = \frac{2( \sqrt{3} - \sqrt{2} )}{12 - 8} =\ \textgreater \ \frac{1}{x} = \frac{ \sqrt{3} - \sqrt{2} }{2}$



i hope this will help you


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