Question

Divide √95/3√5

Answer 1

[AI-generated answer — Bot GPT 3.5]

To divide √95/3√5, we can rationalize the denominator. To do this, we multiply both the numerator and denominator by the conjugate of the denominator.

The conjugate of 3√5 is -3√5.

Therefore, we have:

√95/3√5 * (-3√5/-3√5)

Simplifying, we get:

-(√95 * 3√5) / (-3√5 * -3√5)

Multiplying the numerators together and the denominators together, we get:

-√475 / 9 * 5

Simplifying further, we have:

-√475 / 45

Therefore, √95/3√5 simplifies to -√475/45.