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⠀⠀ || ✪.Solution.✪ ||
➥ 1/(2+√3) + 2/(√5 - √3) + 1/(2- √5)
( Rationalize Denominator )
➥ [1× (2+√3)/(2+√3)(2-√3)] + [2×(√5+√3)/(√5-√3)(√5+√3)]+ [ 1× (2+√5)/(2+√5)(2-√5) ]
➥ [ (2+√3)/(4-3) ] + [ 2 ×(√5+√3)/(5-3) ] [ (2+√5)/(4-5) ]
➥[ (2+√3)/1 ] + [ 2 × (√5-√3)/2 ] + [ (2+√5)/(-1) ]
➥ [ (2+√3)] + [ (√5-√3) ] - [ (2+√5) ]
➥ 2+√3 + √5-√3 - 2 - √5
➥ 0 [ Ans. ]
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Important Formula
★ (a+b)(a-b) = (a² - b² )
★ ( a + b )² = a² + b² + 2ab
★ (a + b )³ = a³ + b³ + 3ab (a+b)
★ a³ + b³ = (a+b)(a² + b² - ab )
★ a³ - b³ = (a-b)(a² + b² + ab )
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