Question

if √2=1.412 then √(√2-1/√2+1) is
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Answer 1

Step-by-step explanation:

$\sqrt{ \frac{ \sqrt{2 } - 1 } { \sqrt{2} + 1 } } \times \frac{ { \sqrt{2 } - 1 } }{ \sqrt{2 - 1} }$

$\frac{ \sqrt{( { \sqrt{2 } - 1)}^{2} } }{2 - 1}$

$= \frac{ \sqrt{2} - 1}{1}$

$= \sqrt{2} - 1$

$= 1.414 - 1 = 0.414$