Answer: -3√5 + 10√3
Step 1: Find the prime factorization of the number inside the radical.
Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.
Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.
Step 4: Simplify the expressions both inside and outside the radical by multiplying.
Answer: 0.9762
Step-by-step explanation:
Let A be the event that days are cloudy and B be the event that days are rainy for January month .
Given : The probability that the days are cloudy = 
The probability that the days are cloudy and rainy = 
Now, the conditional probability that a randomly selected day in January will be rainy if it is cloudy is given by :-

Hence, the probability that a randomly selected day in January will be rainy if it is cloudy = 0.9762
Answer:
1. 3, and 2. m x n
Step-by-step explanation:
1. for an upper triangular 2x2 matrix i.e. (a,0,c,d), three (03) unknown elements a, c, and d are needed to be specified.
2. for m x n matrix, m*n elements are needed to be specified.