InterviewSolution
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InterviewSolution
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5+3root2/5-3root2 = a+b root2. Find the value of A and B |
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Answer» d to find :- Values of " a " and " b " Method used :- Rationalising the denominatorIdentities used :- 1. ( x + y ) ( x + y ) = ( x + y )² 2. ( x + y ) ( x - y ) = x² - y² 3. ( x + y )² = x² + y² + 2xy Solution :- We need to find the values of a and bSo,CONSIDER the LHS part Using the identities 1. ( x + y ) ( x + y ) = ( x + y )² 2. ( x + y ) ( x - y ) = x² - y² 3. ( x + y )² = x² + y² + 2xy So,By using 1st and 2nd identities . we get ;By using the 3rd IDENTITY expand the numeratorNow split the numerator along with the denominator Hence,Compare the LHS and RHS Since,LHS is in the form of RHS Equal the values on both SIDES Hence , a = 43/7b = 30/7 |
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