Roots and Irrational Numbers Unit Test
Math 8 Q2 (Pre-Algebra) / Roots and Irrational Numbers
divide √95/3√5 provide an exact answer
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