To divide these numbers, you need to rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of the denominator.
The conjugate of √2 is also √2.
Multiplying the numerator and the denominator by √2, we get:
(4√10 * √2) / (√2 * √2) = (4√20) / 2
Simplifying further, we get:
2√20 = 2 * √(4 * 5) = 2 * √4 * √5 = 2 * 2√5 = 4√5
Therefore, 4√10 / √2 is equal to 4√5.
Divide 4√10 / √2
1 answer
1 answer