You can put this solution on YOUR website! √2 + √(5 - 2√6)= √3
√(5 - 2√6)= √3 - √2
Squaring both sides we get
(5 - 2√6) = 3 + 2 - 2*√3*√2
(5 - 2√6) = 5 - 2√6
therefore, L H S = R H S
I hope that the solution is clear to you.
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Jainender Kapoor