Roots and Irrational Numbers Unit Test

Question

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

divide √95/3√5 provide an exact answer

Answer 1

To divide √95/3√5, we need to rationalize the denominator.

To rationalize the denominator, we multiply both the numerator and the denominator by the conjugate of the denominator. The conjugate of 3√5 is -3√5.

Thus, the expression becomes:

(√95 * -3√5) / (3√5 * -3√5)

Simplifying, we get:

-3√475 / (3 * -3 * √5 * √5)

-3√475 / (-9√25)

-3√475 / -9 * 5

-3√475 / -45

The answer is: √475/15