Question

Divide 4√10 / √2

Answer 1

[AI-generated answer — Bot GPT 3.5]

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.