Divide 86√2. Provide an exact answer.(1 point)
Responses
46–√
4 start root 6 end root
83–√
8 start root 3 end root
This expression is already simplified and cannot be divided further.
This expression is already simplified and cannot be divided further.
43–√
This expression is already simplified and cannot be divided further.
To divide 86√2, you can simplify the expression further by factoring out the square root of 2.
86√2 = 43 * 2√2
Therefore, the exact answer after dividing 86√2 is 43√2.
To divide 86√2, we can simplify it first. The square root of 2 can be written as √(2).
Now, let's divide 86 by √2.
To simplify the process, we can multiply both the numerator and denominator by √2, because multiplying by √2/√2 is equivalent to multiplying by 1.
(86 * √2) / (√2 * √2) = (86√2) / 2
Now, let's simplify further by dividing both the numerator and denominator by 2:
86√2 / 2 = 43√2
So, the exact answer is 43√2.