Question

only brainless can answer this question. rationalize

Answer 1

$\bold {\huge{Ello!!}}$

$<b >Here's your answer$

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• Rationalize of : ( √3 + √2 ) / ( 3√2 - 2√3 )

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

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

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

[ • ( a )² - ( b )² = ( a + b ) ( a - b ) → Using this identity ]

= ( 3√6 + 6 + 6 + 2√6 ) / 18 - 12

= ( 5√6 + 12 ) / 4 [ ★ Required answer ]

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$<b><u><marquee direction> Hope it helps !!$