If √2 =1.4142,then find the value of ✓√2-1÷√2+1.

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Solution

=root{[root2 + 1]/[root2 - 1] =root{[root2 + 1] [root2 + 1]/[root2 - 1][ root2 +1]} =root{[root2 + 1]^2 / (root2)^2 - 1^2} =root { [root 2 +1]^2 / 2-1} =root{[root2 +1]^2} =root2 +1 =1.414+1 =2.414//

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