Question

Write without absolute value signs
|√(5)-8|

Answer 1

Hint: \(\sqrt{5}\) = 2.2360679774997896964091736687313 < 8

Answer 2

|~(5)-8|

Move the term after the radical to the front of the radical (|~(5)-8|).
|*-8|~(5)

Multiply -8 to get -8.
|-8|~(5)

Remove the factor of -1 from the single term inside the absolute value.
|8|~(5)

The absolute value of -8 is 8, so the absolute value symbols can be removed.
8~(5)

Answer 3

?? I think the original problem was \(|\sqrt{5} - 8|\). It wasn't all that clear as originally written.

Answer 4

sorry about that. That is all my homework question says to do

Answer 5

Is it correct as I have written it? You have only to decide which value is greater.