How do I simplify this: 4+ √24 / 2                  4-√24 /2 Four plus or minus the square root of twenty-four divided by 2

3 Answers

jeew-m's profile pic

jeew-m | College Teacher | (Level 1) Educator Emeritus

Posted on

24 = 4*6

 

`sqrt24 `

`= sqrt(4*6)`

`= sqrt4*sqrt6`

`= 2sqrt6`

 

Our question is simplifying `4+-sqrt24/2`

`4+-sqrt24/2`

`= 4+-(2sqrt6)/2`

`= 4+-sqrt6`

 

So the answer is `4+-sqrt6`

 

 

If your question is` (4+-sqrt24)/2`

`(4+-sqrt24)/2`

`= (4+-2sqrt6)/2`

`= 4/2+-2sqrt6/2`

`= 2+-sqrt6`

 

So answer is `2+-sqrt6`

 

 

Sources:
lfryerda's profile pic

lfryerda | High School Teacher | (Level 2) Educator

Posted on

To reduce `sqrt24` , we need to factor 24 which is `24=2 times 2 times 2 times 3`.  Since the square root of a square is the number, we can simplify a bit.

`sqrt24`

`=sqrt{2 times 2 times 2 times 3}`

`=sqrt{4 times 6}`

`=sqrt4 sqrt 6`

`=2sqrt6`

This means that `(4-sqrt24)/2` becomes `(4-2sqrt6)/2`  which is `2-sqrt6` .

User Comments

tokkles1983's profile pic

tokkles1983 | Student, Undergraduate | (Level 1) eNoter

Posted on

Well I got the answer...

 

(4+√24) / 2         =       2+√6

 


Still not really clear on how to reduce the square root of 24 properly, if anyone cares to help explain it would be much appreciated xD