Divide √95 / 3√5 . Provide an exact answer
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
To divide √95 by 3√5, we can rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator.
The conjugate of 3√5 is -3√5.
So, multiplying the numerator and denominator by -3√5, we get:
(√95 / 3√5) * (-3√5 / -3√5)
Simplifying the expression, we have:
(-3√(95 * 5)) / (-3 * 5)
= -3√475 / -15
The -3 in the numerator and -15 in the denominator can be canceled out.
So, the final simplified answer is:
√475 / 5
To divide √95 by 3√5, we can rationalize the denominator to simplify the expression.
First, let's rationalize the denominator by multiplying both the numerator and denominator by the conjugate of 3√5, which is -3√5.
√95 / 3√5 = (√95 / 3√5) * (-3√5 / -3√5)
= (-3√95√5) / (-9√5√5)
= (-3√475) / (-9√25)
= (-3√19 * √5) / (-9 * 5)
= (-3√19 * √5) / (-45)
= (3√19 * √5) / 45
Therefore, the exact answer for √95 / 3√5 is (3√19 * √5) / 45.