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Question
If `(5sqrt(2) + 3sqrt(3)) - (6sqrt(2) - 7sqrt(3)) = asqrt(2) + bsqrt(3)`, then find a and b.
Solution
Given: `(5sqrt(2) + 3sqrt(3)) - (6sqrt(2) - 7sqrt(3)) = asqrt(2) + bsqrt(3)`
⇒ `5sqrt(2) + 3sqrt(3) - 6sqrt(2) + 7sqrt(3) = asqrt(2) + bsqrt(3)`
⇒ `- sqrt(2) + 10sqrt(3) = asqrt(2) + bsqrt(3)`
Comparing both sides, a = – 1, b = 10
Hence, a = – 1, b = 10.
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