Question
Divide 36√39/9√13 . Provide an exact answer.
Answers
Answer
so 36√39 over 9√13 is 4?
Answer
so 36√39 over 9√13 is 4?
Answer
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Answered by
GPT 3.5
To divide the expression, we need to simplify the numerator and denominator individually first.
The square root of 39 can be simplified as the product of the square root of 3 and the square root of 13: √39 = √3 * √13.
Similarly, the square root of 13 can be simplified as √13 = √(3 * 4) = √3 * √4 = √3 * 2.
Now, substituting the simplified values into the expression:
36√39 = 36(√3 * √13) = 36(√3 * 2) = 72√3
9√13 = 9(√3 * 2) = 18√3
Therefore, the expression can be written as:
(72√3)/(18√3)
Now, we can simply divide the numerical coefficients: 72 divided by 18 equals 4.
Thus, the simplified expression is:
4√3/√3
Since the square root of 3 divided by the square root of 3 is equal to 1, the final answer is:
4.
The square root of 39 can be simplified as the product of the square root of 3 and the square root of 13: √39 = √3 * √13.
Similarly, the square root of 13 can be simplified as √13 = √(3 * 4) = √3 * √4 = √3 * 2.
Now, substituting the simplified values into the expression:
36√39 = 36(√3 * √13) = 36(√3 * 2) = 72√3
9√13 = 9(√3 * 2) = 18√3
Therefore, the expression can be written as:
(72√3)/(18√3)
Now, we can simply divide the numerical coefficients: 72 divided by 18 equals 4.
Thus, the simplified expression is:
4√3/√3
Since the square root of 3 divided by the square root of 3 is equal to 1, the final answer is:
4.
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