Divide 4√10 / √2

Question

A. 2 √10
B. 4 √ 5 **
C. 2 √ 5

Answer 1

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

First, multiply the numerator and denominator by √2 to get:

[(4√10)(√2)] / [(√2)(√2)]

Simplifying further:

[4√20] / [√(2^2)]

The denominator becomes 2 since √(2^2) is equal to 2.

Thus, the simplified expression is:

4√20 / 2

And further simplifying:

2√20

Since √20 is equal to √(4 x 5) and 2 x √5 is already part of the expression, the simplified expression can be written as:

2√5.

Therefore, the correct option is C. 2√5.