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QuestFind the value of a and b.2+√3÷2-√3= a + b √3vz = a buzz |
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Answer» a = 7b = 4Solution:Given : (2 + √3)/(2 - √3) = a + b√3To find : a = ? , b = ?We have ;a + b√3 = (2 + √3)/(2 - √3) Now,RATIONALISING the DENOMINATOR of the term in the RHS , we have ;a + b√3 = (2 + √3)(2 + √3)/(2 - √3)(2 + √3) = (2 + √3)²/{2² - (√3)²} = {2² + (√3)² + 2•2•√3}/(4 - 3) = (4 + 3 + 4√3)/1 = 7 + 4√3 Thus,a + b√3 = 7 + 4√3Now,COMPARING the like terms of RHS and LHS , we get : a = 7 , b = 4Hence;a = 7 b = 4 |
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