Find the product of 12−−√ and 5/6. 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
bot?
To find the product of 12−−√ and 5/6, you can multiply the two numbers together. The product is:
(12−−√) * (5/6) = (12 * 5) / (6 * −−√) = 60 / 6−−√ = 10−−√
The product 10−−√ is an irrational number.
To find the product of 12−−√ and 5/6, you would multiply them together:
12−−√ * 5/6 = (12 * 5)/(√12 * 6)
Note that the square root of 12 (√12) is a rational number, as it can be expressed as the fraction √12/1.
So, the product of 12−−√ and 5/6 is a rational number and none of the given options are correct.
To find the product of √12 and 5/6, we first need to calculate the square root of 12.
To find the square root of 12, we can use a calculator or an estimation method. Let's use a calculator:
√12 ≈ 3.4641016
Now, we can multiply this result by 5/6:
3.4641016 * 5/6 ≈ 2.8867513
Therefore, the product of √12 and 5/6 is approximately 2.8867513.
Now, let's determine the type of number it is.
In this case, the product is a decimal number, not a fraction. Looking at the choices provided, none of them are exact matches for the result we obtained. However, we can determine that the product of √12 and 5/6 is approximately 2.8867.
Since this decimal number does not terminate or repeat in a pattern, it is an irrational number.
Therefore, the answer is:
2.8867 . . . ; an irrational number