Question
If √̅1̅2̅-̅2̅√̅3̅5̅ +
√̅8̅+̅2̅√̅1̅5̅ = √a + √b, where a and b are positive integers, then the value of b – a is closest to:Solution
√ (12 - 2√35) + √(8 + 2 √15) = ( √a + √b) => √ (√7 - √5)2 + √( √3 + √5)2 = ( √a + √b) => √7 - √5 + √3 - √5 = ( √a + √b) => = ( √a + √b) = √7 + √3 => a = 7 and b = 3 The value of b – a = 3 - 7 = -4
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