# Rewrite expression without absolute value bars. abs(sqrt 5-13)

Rewrite expression without absolute value bars.
$|\sqrt{5}-13|$
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smallq9

Step 1
the given expression is:
$|\sqrt{5}-13|$
we have to rewrite the given expression without absolute value bars.
as we know that:
$\stackrel{―}{x}=\left\{\begin{array}{cc}x& \phantom{\rule{1em}{0ex}}\text{if}\phantom{\rule{1em}{0ex}}x\ge 0\\ -x& \phantom{\rule{1em}{0ex}}\text{if}\phantom{\rule{1em}{0ex}}x<0\end{array}$
Step 2
as we can see that $\sqrt{5<13}$
therefore,
$\sqrt{5-13}<0$
and we know that $|x|=-x$ if x<0
therefore,
$|\sqrt{5-13}|=-\left(\sqrt{5-13}\right)$
therefore,
$|\sqrt{5-13}|=-\left(\sqrt{5-13}\right)=13-\sqrt{5}$
therefore the value of the given expression $|\sqrt{5-13}|$ without absolute value bars is $13-\sqrt{5}$