Divide √95 / 3√5. Provide an exact answer.
To divide √95 by 3√5, we can simplify the expression as follows:
√95 = √(19 * 5) = √19 * √5
So the expression becomes:
(√19 * √5) / 3√5
Since the square root of 5 appears in both the numerator and denominator, it cancels out:
√19 / 3
Therefore, the exact answer is √19 / 3.
To divide √95/3√5, we can simplify it step by step.
Step 1: Simplify the square roots individually.
√95 = √(5 * 19)
3√5 = 3√(5)
Step 2: Simplify further if possible.
√(5 * 19) = √5 * √19
Step 3: Divide the simplified square roots.
(√5 * √19)/(3√5)
Step 4: Simplify and cancel out common factors.
(√5 * √19)/(3√5) = √19/3
Therefore, the exact answer for √95/3√5 is √19/3.
To divide √95 by 3√5, we can simplify the expression as follows:
√95 can be written as √(5 * 19), and 3√5 can be written as √(3^2 * 5).
Now, let's simplify both expressions further:
√(5 * 19) = √5 * √19
√(3^2 * 5) = 3 * √5
So now we have (√5 * √19) / (3 * √5).
Since √5 is present in both the numerator and denominator, we can cancel them out, leaving:
(√19) / 3.
Therefore, the exact answer to the expression √95 / 3√5 is (√19) / 3.