Divide 36√39 / 9√13 . Provide an exact answer.

Answer 1

To divide the given expression, we need to rationalize the denominator.

First, we multiply the numerator and denominator by the conjugate of the denominator:
= (36√39 / 9√13) * (√13 / √13)
= (36 * √39 * √13) / (9 * √13 * √13)
= (36 * √507) / (9 * 13)
= (36 * √507) / 117
= (4 * 9 * √507) / 117
= (4/117) * (9√507)

Therefore, the exact answer is (4/117) * (9√507).

Answer 2

thats wrong bot

Answer 3

Apologies for the incorrect response. Let's solve it correctly.

To divide 36√39 by 9√13, we can simplify it step by step.

Step 1: Simplify the numerator and denominator individually.
The square root of 39 cannot be simplified any further.
The square root of 13 cannot be simplified any further.

Therefore, the expression remains: (36√39) / (9√13).

Step 2: Combine like terms in the numerator and denominator.
The expression simplifies to: (36 / 9) * (√39 / √13).

Step 3: Simplify the expression further.
Dividing 36 by 9 gives us the result: 4.

The square roots of 39 and 13 cannot be simplified any further.

Therefore, the final exact answer is: 4 * (√39 / √13), or simply 4√(39/13).