Divide 4√10/√2. Provide an exact answer.

Question

a. 4√5
b. 2√5
c. 2√10
d. This expression is already simplified and cannot be divided

Answer 1

To divide 4√10/√2, we can rationalize the denominator by multiplying both the numerator and denominator by √2:

(4√10/√2) * (√2/√2) = (4√10 * √2) / (√2 * √2) = (4√20) / √4

Next, we can simplify the expression:

(4√20) / √4 = (4√20) / 2 = 2√20 = 2(√4 * √5) = 2(2√5) = 4√5

Therefore, the exact answer is a. 4√5.