Divide √95 by 3√5.
Please provide an exact answer
To divide √95 by 3√5, we can simplify the expression as follows:
√95 / (3√5)
To rationalize the denominator, we multiply both the numerator and denominator by the conjugate of the denominator, which is also 3√5:
(√95 / (3√5)) * (3√5 / 3√5)
This simplifies to:
(3√(95) * √(5)) / (3√(5) * 3√(5))
The √(5) terms cancel out:
(3√(95) * 1) / (3 * 3)
This further simplifies to:
√(95) / 9
Therefore, the exact answer is √(95) / 9.