____ How do you simplify these?
/
\/ 24
Including numbers such as 40 60 and 48?
sq24 = sq4 x sq6
= 2 x sq6
sq = square root of
the square root of 24? okay, find two factors of 24, like 6 and 4. six hads no square root so it stays in the radical, and the square root of 4 is two, so it goes outside the radical. so the answer is 2times the square root of 6.
break the numbers into digestable square roots.
24=4*6
so sqrt24=sqrt(4*6)=2sqrt6 which could be further simplified to 2sqrt3*sqrt2
40=4*2*5
60=4*3*5
and so on.
-8c-4c+4a-1over4q
To simplify the square root of 24, including numbers such as 40, 60, and 48, you can follow these steps:
1. Factorize the number inside the square root, which is 24 in this case.
24 = 2 * 2 * 2 * 3
2. Group the factors in pairs of the same value and rewrite them using a square root:
sqrt(24) = sqrt(2 * 2 * 2 * 3)
As the factors are in pairs, we can write them as:
sqrt(2 * 2) * sqrt(2 * 3)
3. Simplify each pair of factors to get their square roots:
sqrt(2 * 2) = 2
sqrt(2 * 3) = sqrt(6)
4. Combine the simplified square roots back together:
sqrt(24) = 2 * sqrt(6)
So, the simplified form of the square root of 24, including numbers such as 40, 60, and 48, is 2 * sqrt(6).