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Rationalize the denominator √3+2/√3-2

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Rationalize the denominator √3+2/√3-2

Posted by Jai Phadtare 6 years, 1 month ago

CBSE > Class 09 > Mathematics

1 answers

Gaurav Seth 6 years, 1 month ago

( √3 + √2 ) / ( √3 - √2 )

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

= ( √3 + √2 )² / [ (√3 )² - ( √2 )² ]

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

= 3 + 2√6 + 2

= 5 + 2√6

2Thank You

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