divide 8 square root (6) / 2 provide an answer
The answer is 4 square root(6).
To simplify the expression 8√6/2, you can start by simplifying the numerator and denominator separately.
Numerator:
8√6
To simplify √6, you need to break it down into its prime factors.
Factors of 6: 1, 2, 3, 6
√6 = √(2 * 3) = √2 * √3 = √2√3
So, 8√6 = 8(√2)(√3)
Denominator:
2
Now we can rewrite the expression as:
8√6 / 2 = 8(√2)(√3) / 2
Next, we can simplify the expression further by canceling out common factors between the numerator and the denominator. In this case, the common factor is 2.
Canceling out the common factor:
8(√2)(√3) / 2 = (8/2)(√2)(√3) = 4(√2)(√3)
So, the simplified expression is 4√2√3.
Note: √2 and √3 cannot be multiplied together, so the expression cannot be simplified further.
To divide 8 square root (6) by 2, you can follow these steps:
Step 1: Simplify the square root
8 square root (6) can be simplified as 8 * √6.
Step 2: Divide by 2
Now, divide 8 * √6 by 2 to get the answer.
8 * √6 / 2 = (8/2) * √6
Step 3: Simplify the division
Simplifying further:
(8/2) * √6 = 4 * √6
So, the answer is 4 * √6.