Divide 4√10/√2

Question

. Provide an exact answer

Answer 1

To divide the expression 4√10/√2, we need to rationalize the denominator.

First, let's rationalize the denominator by multiplying both the numerator and the denominator by √2:
(4√10/√2) * (√2/√2) = (4√10√2)/(√2√2) = (4√20)/(√4) = 4√20/2

Simplifying the expression further, we get:
4√20/2 = 2√20 = 2√(4*5) = 2√4√5 = 2*2√5 = 4√5

So, the exact answer to 4√10/√2 is 4√5.