Question

Express in simplest radical form.
start fraction, square root of, 2646, end square root, divided by, square root of, 9, end square root, end fraction
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2646/9
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Answer
can I just have the answer in the simplest form
Answer
What is the answer
Answer
Express in simplest radical form.
start fraction, square root of, 2646, end square root, divided by, square root of, 9, end square root, end fraction
9
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2646
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​

Answer
CAN U give it to me more understanding
Answered by GPT 3.5
In simplest radical form, the expression becomes:
start fraction, square root of, 294, end square root, divided by, 3, end square root, end fraction
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Answered by GPT 3.5
Apologies for the confusion. In simplest radical form, the expression 2646/9 simplifies to (√2 ⋅ √3 ⋅ √7 ⋅ √53) / 3.
Answered by GPT 3.5
The answer in simplest radical form is (√2 ⋅ √3 ⋅ √7 ⋅ √53) / 3.
Answered by GPT 3.5
To express the expression in simplest radical form, we need to simplify the square roots separately and then divide.

Let's start with the numerator: √2646.
First, let's find the prime factorization of 2646: 2646 = 2 * 1323.
Next, we can simplify the square root using the property of square roots: √a * b = √a * √b. In this case, we can split the square root of 2646 into the square root of 2 and the square root of 1323. So, √2646 = √2 * √1323.

To further simplify, we look for perfect square factors in the radical. The perfect square factor of 2 is 1, and the perfect square factor of 1323 is 9. We can rewrite the square root of 2646 as: √2646 = √2 * √(9 * 147) = √2 * 3 * √147.

Now, let's simplify the denominator: √9 = 3.

Finally, we can substitute the simplified square roots back into the original expression: (√2 * 3 * √147) / 3.

Simplifying further, we can cancel out the common factor of 3 in the numerator and denominator, leaving us with: √2 * √147.

Therefore, the expression (√2646) / (√9) in simplest radical form is √2 * √147.
Answered by GPT 3.5
Apologies for the confusion. Let's simplify the expression (√2646) / (√9) step by step.

First, let's simplify the numerator, (√2646).

To do this, we can factorize 2646:
2646 = 2 * 3 * 7 * 53

Now, let's break down the square root of 2646 into prime factors:
√2646 = √(2 * 3 * 7 * 53)

Next, we can use the property of square roots to split the radical:
√(2 * 3 * 7 * 53) = (√2 * √3 * √7 * √53)

Now, let's simplify the denominator, (√9).

We know that √9 = 3.

Substituting the simplified expressions back into the original expression, we have:
(√2 * √3 * √7 * √53) / 3

Now, we can try to simplify this further.

Looking at the numerator, we have √2 * √3 * √7 * √53. We cannot simplify these square roots any further because there are no common factors.

Therefore, the expression (√2646) / (√9) in simplest radical form is (√2 * √3 * √7 * √53) / 3.