Question

if root 3 is equal to 1.732 minus 1 then the value of 2 upon root 3 minus 1 is ???​

Answer 1

$\textbf{Given:}$

$\sqrt{3}=1.732$

$\textbf{To find:}$

$\text{The value of \dfrac{2}{\sqrt{3}-1} }$

$\textbf{Solution:}$

$\text{Consider,}$

$\dfrac{2}{\sqrt{3}-1}$

$\text{To rationalize the denominator multiply both}$

$\text{Numerator and denominator by \sqrt{3}+1 }$

$=\dfrac{2}{\sqrt{3}-1}{\times}\dfrac{\sqrt{3}+1}{\sqrt{3}+1}$

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

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

$=\dfrac{2(\sqrt{3}+1)}{2}$

$=\sqrt{3}+1$

$=1.732+1$

$=2.732$

$\therefore\textbf{The value of \bf\dfrac{2}{\sqrt{3}-1} is 2.732}$

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