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

Answer 1

To divide 4√10 by √2, we can simplify as follows:

4√10 / √2 = (4/√2) * (√10/1)

Next, we can rationalize the denominator by multiplying both the numerator and denominator by √2:

= (4/√2) * (√10/1) * (√2/√2)
= (4*√2*√10) / (√2*√2)
= (4*√20) / (2)
= (4/2) * √20
= 2 * √20

√20 can be further simplified as √(4*5) = √4 * √5 = 2√5

Therefore, the exact answer is 2√5.