To simplify the expression 13√27, we can simplify the square root of 27 first.
The prime factorization of 27 is 3 * 3 * 3.
We can pair the prime factors in sets of two because each pair will simplify to a single factor outside the square root sign. However, there is one remaining factor of 3 that cannot be simplified.
So, 27 can be written as 3 * 3 * √3.
Now, we can simplify the expression 13 * √27 by multiplying the values outside and inside the square root.
13 * √27 = 13 * (3 * 3 * √3) = 39 * √3.
Therefore, the simplified form of 13√27 is 39√3.
Simplify 13√27
3 answers
how?
I apologize for the incorrect response earlier.
To simplify 13√27, we can simplify the square root of 27.
The prime factorization of 27 is 3 * 3 * 3.
Since the square root of 9 (3 * 3) is 3, we can take out a factor of 3 from the square root:
√27 = √(9 * 3) = √(9) * √(3) = 3 * √3
Therefore,
13√27 = 13(3 * √3) = 39√3
To simplify 13√27, we can simplify the square root of 27.
The prime factorization of 27 is 3 * 3 * 3.
Since the square root of 9 (3 * 3) is 3, we can take out a factor of 3 from the square root:
√27 = √(9 * 3) = √(9) * √(3) = 3 * √3
Therefore,
13√27 = 13(3 * √3) = 39√3
3 answers