Question

Answer the question please!
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Answer 1

Step-by-step explanation:

√[(√2+1)/(√2-1)]

=√ [(1.4142+2)/(1.4142-1)]

= √ (3.4142/0.4142)

= √8.25

= 2.87

Answer 2

${\huge{\fcolorbox{white}{pink}{2.4142}}}$

Step-by-step explanation:

GIVEN:-

√2 = 1.4142

TO FIND:-

$\bf\huge \sqrt{ \frac{ \sqrt{2} + 1 }{ \sqrt{2} - 1} }$

SOLUTION:-

$rationalise \: it \\ \\ \sqrt{ \frac{( \sqrt{2} + 1)( \sqrt{2} + 1) }{( \sqrt{2} - 1)( \sqrt{2} + 1) } } \\ \\ \sqrt{ \frac{ { (\sqrt{2 } + 1) }^{2} }{ { \sqrt{(2)} }^{2} - {(1)}^{2} } } \\ \\ \sqrt{ \frac{ {( \sqrt{2 } + 1) }^{2} }{2 - 1} } \\ \\ \frac{ \sqrt{2} + 1}{ \sqrt{1} } \\ \\ \frac{ \sqrt{2} + 1}{1}$

Substitute the value of √2

THEREFORE

$\sqrt{2} + 1 \\ \\ 1.4142 + 1 \\ \\ 2.4142 \: answer$

${\huge{\fcolorbox{red}{purple}{Galaxy Fanfan}}}$