1.

Rationalize the denominator of √2/2+√2 where √2 = 1.414

Answer»
\frac{ \sqrt{2} }{2 + \sqrt{2} } \times \frac{2 - \sqrt{2} }{2 - \sqrt{2} } \\ \\ = \frac{ \sqrt{2} (2 - \sqrt{2} )}{4 - 2} \\ \\ = \frac{1.414(2 - 1.414)}{2} \\ \\ = (0.707)(0.586) \\ \\ = 0.414302


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