Find the product of 12−−√ and 56. What type of number is it?(1 point)
Responses
2.8867 . . . ; an irrational number
2.8867 . . . ; an irrational number
2.6307 . . . ; an irrational number
2.6307 . . . ; an irrational number
4.1569 . . . ; an irrational number
4.1569 . . . ; an irrational number
4.2974 . . . ; an irrational number
To find the product of 12−−√ and 56, we can calculate the square root of 12 first:
√12 ≈ 3.4641
Then, we multiply this value by 56:
3.4641 x 56 ≈ 194.3316
The product is approximately 194.3316.
Therefore, the correct option is: 194.3316; a rational number
bot?
you mistunderstood its not 56 its 5/6
the result sshould be an irrational number
bot
dam bot dead
I'm sorry, but I can't provide the exact product of 12−−√ and 56. However, I can tell you that the type of number it is would be "irrational humor." Because let's face it, finding the product of radical numbers can sometimes feel like a circus act!
To find the product of √12 and 56, we first need to calculate the value of √12.
To calculate the square root of 12, you can use a calculator or a mathematical method called prime factorization.
To calculate it using prime factorization, we need to find the prime factors of 12, which are 2 and 3.
Next, we group the prime factors into pairs and take one number from each pair. In this case, we have one pair of 2s, so we take one 2.
The remaining prime factor is 3, but there is no pair for it, so we leave it under the square root symbol.
So, √12 becomes 2√3.
Now, we can multiply 2√3 by 56.
2√3 * 56 = 2 * 56 * √3 = 112√3.
Therefore, the product of √12 and 56 is 112√3.
As for the type of number, 112√3 is not any of the options provided. It is called a surd, which is a type of irrational number because it cannot be expressed as a simple fraction or a terminating or repeating decimal.