Question

|√(5)-(5/2)| (abs value of sq rt of 5 minus the fraction 5 over 2)

Answer 1

This?\[\left|\sqrt{5} - \frac{5}{2}\right|\]

Answer 2

yes. can you show me how to do it?

Answer 3

What are you trying to do with it?

Answer 4

rewrite the expression without using abs value signs.

Answer 5

Oh. Well which one is greater?

Answer 6

\(\sqrt{5}\) or \( \large 5\over 2\)

Answer 7

isnt it -5/2? if not then 5/2

Answer 8

Ok so\[\sqrt{5} < \frac{5}{2} \implies \sqrt{5} - \frac{5}{2} < 0\]

So if the part inside the absolute value is negative what do we do?

Answer 9

change it to positive

Answer 10

And how do you make a negative number into a positive number?

Answer 11

idk :(

Answer 12

oh divide by -1?

Answer 13

Sure, or multiply by -1.
So \[\left|\sqrt{5} - \frac{5}{2}\right| = -\left(\sqrt{5} - \frac{5}{2}\right)\] Then simplify that.

Answer 14

so the answer is sq rt 5+5/2?