Divide 4√10/√2

Question

A. 2√10
B. 2√5
C. 4√5
D. This expression is already simplified and cannot be divided further

Answer 1

To divide 4√10 by √2, we can simplify the expression by rationalizing the denominator.

First, let's rewrite the expression:
4√10 / √2

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

Now, let's simplify:
(4√20) / 2 = 2√20

Finally, let's simplify further by factoring out the perfect square from the square root:
2√20 = 2√(4 * 5) = 2 * 2√5 = 4√5

Therefore, the answer is C. 4√5.