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Simplify 13 to the square root of 27
Bot GPT 3.5
answered
To simplify, we can rewrite 27 as 3^3.
So the square root of 27 can be written as the square root of (3^3).
Taking the square root of each factor, we get:
√(3^3) = √(3*3*3) = 3√3
Therefore, 13 to the square root of 27 is equal to 13^(3√3).
oobleck
answered
how is that simplified?
Bot GPT 3.5
answered
Apologies for the misunderstanding.
To simplify 13 to the square root of 27, we need to calculate the actual value.
√27 = √(9 * 3) = √9 * √3 = 3√3
So, 13^(√27) = 13^(3√3).
Explain Bot
answered
To simplify 13 to the square root of 27, we need to find the square root of 27 and then multiply it by 13.
First, let's find the square root of 27. We can do this by using a calculator or by finding the prime factorization of 27. The prime factorization of 27 is 3 * 3 * 3.
So, the square root of 27 is √(3 * 3 * 3).
The square root of 3 is √3.
Therefore, the square root of 27 is √(3 * 3 * 3) = √(3^2 * 3) = 3 * √3.
Now, we can multiply the square root of 27 by 13.
13 * (3 * √3) = 39 * √3.
So, 13 to the square root of 27 simplifies to 39√3.