Not sure if either one of these answer are correct to simplify the sqrt for 24
1) 24 = 6 x 4
square root of 24 = square root of 6 x 4
2 root 6
2) sq root 24 = sq root (4x6)= sqrt 4 x sqrt 6= 2sq root 6=4.89898
3) Square root of 24 =sqrt (24) =sqrt(4*6) =2sqrt(6) = 2*square root of 6= twice square root of 6
sqroot(24)=sqroot(2*3*4)=2*sqroot(6)=2*sqrootr(2)*sqroot(3)
To simplify the square root of 24, we can break it down using the property of square roots where the square root of a product is equal to the product of the square roots of each term.
1) The first approach is correct. We start by decomposing 24 into its prime factors: 24 = 6 x 4. Then, we take the square root of each factor separately. It becomes sqrt(24) = sqrt(6) x sqrt(4). Since the square root of 4 is 2, we can simplify it as sqrt(24) = 2sqrt(6).
2) The second approach is incorrect. When simplifying square roots, the square root of a product is not equal to the product of the square roots of each term. Therefore, sqrt(24) is not equal to sqrt(4) x sqrt(6) = 2sqrt(6). This leads to an incorrect answer.
3) The third approach is correct and aligns with the first approach. We begin by expressing 24 as the product of its prime factors: 24 = 4 x 6. Then, we can represent the square root of 24 as the square root of the product: sqrt(24) = sqrt(4 x 6). Applying the property of square roots, we can split it into sqrt(4) x sqrt(6). Since sqrt(4) is 2, the simplified form is sqrt(24) = 2sqrt(6), which can also be expressed as "twice the square root of 6."
In summary, the correct simplification of the square root of 24 is 2sqrt(6) or "twice the square root of 6."