Question

Divide 86√2. Provide an exact answer

Answer 1

To divide 86√2 exactly, we need to find the rationalized form of the expression.

Here's how we can do it:

When dividing by a square root, we multiply both the numerator and denominator by the conjugate of the denominator. The conjugate of √2 is -√2.

So, multiplying 86 by -√2 in both the numerator and denominator, we get:
(86√2) / ( √2 * √2)

Simplifying the denominator:
(86√2) / (2)

Dividing 86 by 2:
(43√2) / 1

Therefore, the exact answer is 43√2.