Divide 4√10 / √2
A. 2 √10
B. 4 √ 5 **
C. 2 √ 5
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.