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√7-√5/√7+√5 , Simplify the given number by rationalising the denominator. |
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Answer» We RATIONALIZE the denominator of the given number by multiplying both its NUMERATOR and its denominator by the conjugate irrational number (√7 - √5) Now, (√7 - √5)/(√7 + √5) = {(√7 - √5) (√7 - √5)}/{(√7 + √5) (√7 - √5)} = (7 - 2√35 + 5)/(7 - 5) = (12 - 2√35)/2 = 6 - √35, which is the REQUIRED form # |
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