The value of the expression [tex]|\sqrt{15}-5+1 |[/tex] without absolute bars is [tex]4 - \sqrt{15}[/tex]
How to rewrite the expression without absolute bars?
The rule is that if the expression within the absolute bars is positive, just remove the bars. Conversely, if negative, put a minus sign in front of the expression after removing the bars.
[tex]= |\sqrt{15}-5+1 |\\\\=|\sqrt{15}-4 |\\[/tex]
Calculating the value within the expression:
[tex]= \sqrt{15} - 4\\\\=3.873 - 4 \\\\= -0.127[/tex]
Since, the value of the expression is negative, |x| = -x.
So,
[tex]=|\sqrt{15}-4 | = -(\sqrt{15}-4)\\\\= 4 - \sqrt{15}[/tex]
Learn more about absolute bars here
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