a=√3+√2/√3-√2 by rationalizing
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Step-by-step explanation:
( √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
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