Divide 86√2/2. Provide an exact answer.
a. 4√6
b. 8√3
c. This expression is already simplified and cannot be divided d. 4√3
To divide the expression 86√2/2, we can simplify by dividing the numerator and denominator separately.
86√2 divided by 2 can be simplified as (86/2)√2 = 43√2.
Thus, the exact answer is 43√2.
Therefore, none of the given options (a, b, c, or d) exactly matches the simplified expression.
To divide the expression 86√2/2, we can simplify it by dividing both the numerator and denominator separately. Let's start by simplifying the numerator.
The numerator is 86√2. To simplify this, we can separate the number 86 and the square root of 2.
86 can be written as 2*43, and the square root of 2 cannot be simplified further. Hence, we can rewrite the numerator as:
86√2 = (2 * 43)√2
Now, let's simplify the denominator.
The denominator is 2, which cannot be simplified further.
Now, we can rewrite the entire expression as:
(2*43)√2 / 2
Next, we can cancel out the common factor of 2 in the numerator and denominator:
(2*43)√2 / 2 = 43√2
So, the exact answer is 43√2.
Therefore, none of the options a, b, c, or d are correct.