Divide 36√39/9√13 . Provide an exact answer. (1 point)
To divide 36√39/9√13, we can simplify the expression by canceling out the common factors in the numerator and denominator.
First, simplify the numerator:
36√39 = (6√39)(6) = 6 * 6 * √39 = 36√39
Next, simplify the denominator:
9√13 = (3√13)(3) = 3 * 3 * √13 = 9√13
Now, rewrite the expression:
36√39/9√13 = (36√39)/(9√13)
Cancel out the common factors of 9 and 6:
(36/9)(√39/√13)
Simplify the fraction:
36/9 = 4
Now we have:
4(√39/√13)
Finally, simplify the square root terms:
√39 = √(3 * 13) = √3 * √13
√13 = √13
Therefore, the exact answer is:
4(√3 * √13)/(√13) = 4√3