Divide √95/3√5 Provide an exact answer.

Answer 1

To divide √95 by 3√5, we multiply the numerator and denominator by the conjugate of the denominator to rationalize the denominator.

Conjugate of 3√5 is 3√5.

√95/3√5 * 3√5/3√5

= (3√95 * 3√5) / (3√5 * 3√5)

= 9√(95 * 5) / (3 * 5)

= 9√475 / 15

= (9/15) * √475

= (3/5) * √475

Therefore, the exact answer is (3/5) * √475.