Question 173

If $$x=\frac{1}{\sqrt{2}+1}$$ then $$(x+1)$$ equals to

Solution

Expression : $$x=\frac{1}{\sqrt{2}+1}$$

=> $$x = \frac{1}{\sqrt{2}+1} \times \frac{\sqrt{2}-1}{\sqrt{2}-1}$$

=> $$x = \sqrt{2} - 1$$

=> $$x + 1 = \sqrt{2}$$

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