can someone refresh my memory on simplifying the square root of 24?

Answer 1

sqrt(24) = sqrt[4(6)] =

sqrt(4)*sqrt(6) =

2sqrt(6)

this is the correct answer, not the two above - trust me

Answer 2

First you want to look for a multiple of 24 that is also a perfect square. In this case: 4*6=24. 4 is a perfect square.

So the square root of 24 becomes: the root of 4 * the root of 6.

Root of 4 simplifies to 2.

So your answer is 2*root of 6.

2V6

Answer 3

OKAY:
Square Root Of 24...I'm going to write this as V24 (just FYI)

First you have to figure out if 24 has any roots...
24 = 4 x 3 x 2
V4 = 2
SO:
V24 = 2 x V(3 x 2) = 2 x V6 = 2 times the square root of 6

Hope this makes sense!

Answer 4

find 2 numbers that when multiplied together equal 24, such as 2&12, however the numbers that you pick should be perfect squares (ex. 64) if possible

how I would solve this problem

6*4 = 24

so take 24 and divide it into 6*4 - since 4 is a perfect square you can the square root and get 2. there are no numbers to break 6 down into and get another perfect square, so leave the 6 under the square root sign.

your answer

2*(square root 6)

Answer 5

Find the largest divisor of 24 which is a perfect square, and factor that out.

In this case, the largest such factor is 4:

sqrt(24)
= sqrt(4 x 6)
= sqrt(4) x sqrt(6)
= 2 x sqrt(6)

And now, an editorial comment about how math is taught:

Oddly, "2 x sqrt(6)" is considered "simpler" than "sqrt(24)", even though it requires an extra math operation (the multiplication). I think this is a holdover from the olden days, when you had to do square roots by hand or look them up in a table. In those days, finding sqrt(6) really was easier than finding sqrt(24).

Of course, all that is invalidated now that nobody uses square root tables or figures them out by hand any more. But mathematics curricula continue to plod along with old tradition, without ever questioning its purpose or relevance. Which is why, when math students ask "why?" nobody has an answer.

Just my 2 cents.

Answer 6

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RE:
can someone refresh my memory on simplifying the square root of 24?

Answer 7

since it doesnt factor out completely, you have to find everything that goes into it. For example: 6*4=24, so 6 can be broken down to 3 and 2, thats as far as that goes. Then the 4, that can be broken down to 2 and 2. So 2*2*2*3=24, since square root deals with "couples", you have a pair of 2's with a 2 and 3 left over. so the answer is 2 root 6

Answer 8

sqrt(24)=sqrt(4*6)=2*sqrt(6)

Answer 9

\/24 =
24|2
12|2
06|2
03|3
1
\/24 = \/2³ * \/3 = 4\/6.
><

Answer 10

Don't you multiply 24 24 times itself? 24*24*24*24 etc... 24 times...