Answer: 
Step-by-step explanation:
For this exercise it is important to remember the following:
Given the following expression:
You can notice that the radicand (the number inside the square root) is negative. Therefore, in order to simplify the expression, you need to follow these steps:
1. Replace 
with 
and simplify:
2. Descompose 12 into its prime factors:
3. Substitute into the expression:
4. Since ![\sqrt[n]{a^n}=a](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da)
, you can simplify it:
Answer:
12 people
Step-by-step explanation:
We have to take to total amount of teachers, which is 8 and add the total amount of students, which there are 4 of. 8+4 is 12, so there are 12 people in total.
Answer:
1/6
Step-by-step explanation:
As the purple die has already rolled and the number landed is 6, to find the probability of the sum of the dice being 7, there is only one option for the yellow die:
purple result + yellow result = 7
6 + yellow result = 7
yellow result = 1
So the yellow die needs to roll a 1, over a total of 6 possibilities, so the probability is 1/6
