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If (a+b)2=5+26(a+b)^2 = 5 + 2\sqrt{6}, what can be the possible value of 'b' from the following?

Solution

Correct Option: 2

Expand (a+b) squared = a squared + b squared + 2ab = 5 + 2 root 6. Choosing a = root 2 and b = root 3 gives a squared + b squared = 2 + 3 = 5 and 2ab = 2 root 6. So b = root 3.

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