To divide √95 by 3√5, we can simplify the expression as follows:
√95 / 3√5 = (√95)/(√5 * 3) [Rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator]
= (√95)/(√15) [√5 * 3 = √15]
= (√(19 * 5))/(√15) [Separate the square root of 95 into the product of square roots of its factors]
= (√19 * √5)/(√15) [Using the property √(a * b) = √a * √b]
= (√(19 * 5))/(√(3 * 5))
= (√19 * √5)/(√3 * √5) [Using the property √(a * b) = √a * √b]
= (√19)/(√3) [Cancel out the common factor √5]
Therefore, the exact answer in square root form is (√19)/(√3).