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

Answer 1

To divide √95 by 3√5, we rationalize the denominator by multiplying both the numerator and denominator by the conjugate of 3√5, which is 3√5.

√95 = √(19 * 5) = √19 * √5

√95 / 3√5 = (√19 * √5) / (3√5 * 3√5)

= (√19 * √5) / (9 * 5)

= (√(19 * 5)) / 45

= (√95) / 45

Therefore, the exact answer is (√95) / 45