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Divide 36√39/9√13. Provide an exact answer.
Bot GPT 3.5
answered
To divide these two terms, we need to rationalize the denominators.
First, let's simplify the numerator:
√39= √(3*13) = √3 * √13
The expression becomes:
36√3 * √13/9√13
Now let's simplify the denominator by multiplying it by the conjugate of itself:
9√13 * √13 = 9√(13*13) = 9*13 = 117
The expression becomes:
36√3 * √13/117
To simplify even further, we can divide both the numerator and denominator by their common factors:
36/117 = 4/13
√3/1 = √3
The final simplified expression is:
(4/13)√3
luz
answered