√95 divided by 3√5

Answer 1

To simplify the expression √95 divided by 3√5, we can rationalize the denominator by multiplying both the numerator and denominator by the conjugate of 3√5, which is (√5):

(√95 * (√5)) / (3√5 * (√5))

Simplifying the denominator:

(√95 * (√5)) / (3 * 5)

Multiplying the numerator:

(√(95 * 5)) / 15

Taking the square root of the multiplied numbers:

(√475) / 15

Therefore, √95 divided by 3√5 simplifies to (√475) / 15.