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3√5-√7/3√3+√2 , Simplify the given number by rationalising the denominator. |
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Answer» GIVEN (3√5-√7)/(3√3 + √2) =[(3√5-√7)(3√3-√2)]/[(3√3+√2)(3√3-√2)] =[9√15-3√10-3√21+√14]/[(3√3)²-(√2)²] [ SINCE x²-y² =(x+y)(x-y)] =[9√15-3√10-3√21+√14]/(27-2) = (9√15-3√10-3√21+√14)/25 •••• •••• |
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