Question

rationalize the denominator of
$\frac{1}{( \sqrt{2 + \sqrt{3 } } ) - \sqrt{4} }$

Answer 1

Hii there !!
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Here is ur answer ---


= 1 / (√2 + √3 ) - √4

= 1 / ( √2 + √3) -√4 × (√2 + √3 ) + √4 / (√2 + √3 ) + √4

= √2 + √3 + √4 / (√2 + √3 )^2 - (√4)^2

= √2 + √3 + √4 / (2 + 3 ) - 4

= √2 + √3 + √4 / 5 - 4

= √2 + √3 + √4 / 1

= √2 + √3 + √4

hope it helps uh !!