Roots and Irrational Numbers Unit Test

Math 8 Q2 (Pre-Algebra) / Roots and Irrational Numbers

divide 36√39/9√13 provide an exact answer

To divide the given expressions, we can simplify the numerators and denominators separately and then divide.

Simplifying the numerator:
√39 = √(3 * 13) = √3 * √13 = √3√13 = √(3 * 13) = √39

Simplifying the denominator:
√13 = √(13)

Now, we can rewrite the expression as:
(36√39)/(9√13) = (36 * √39)/(9 * √13)

Canceling out common factors:
= (4 * 9 * √3 * √13)/(9 * √13)

Now, we can cancel out the common factor of 9 and √13:
= (4 * √3)

The exact answer is 4√3.