Question

if √3=1.732 then find the value of √√3+1/√√3-1

Answer 1

This is your answer

Answer 2

$Given \: \sqrt{3} = 1.732 \: and \:\sqrt{2} = 1.414$

$Value \:of \: \sqrt{ \frac{(\sqrt{3} + 1 )}{( \sqrt{3} - 1) } }$

$= \sqrt{ \frac{(\sqrt{3} + 1 )(\sqrt{3} + 1)}{( \sqrt{3} - 1) (\sqrt{3} + 1)} }$

$= \sqrt{ \frac{(\sqrt{3} + 1 )^{2}}{( \sqrt{3} )^{2}- 1^{2}} }$

$= \sqrt{\frac{(\sqrt{3} + 1) }{3-1}} \\= \frac{(\sqrt{3} + 1) }{\sqrt{2}} \\= \frac{\sqrt{2}(\sqrt{3} + 1) }{\sqrt{2}\times \sqrt{2}} \\= \frac{ 1.414 ( 1.732 + 1 )}{ 2 } \\= \frac{1.414 \times 2.732 }{2} \\= \frac{4.146}{2}\\= 2.073$

Therefore.,

$\red{ Value \:of \: \sqrt{ \frac{(\sqrt{3} + 1 )}{( \sqrt{3} - 1) } }} \green {= 2.073}$

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