The square root of 71 is equal to 8.426149773176359...., which is between 8 and 9.
To check: square of 8 is 64, and of 9 is 81: 71 is between those two numbers, as it should be.
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:
2 (3 - 7 r)
Step-by-step explanation:
Simplify the following:
-4 (3 r - 2) - 2 (r + 1)
-4 (3 r - 2) = 8 - 12 r:
8 - 12 r - 2 (r + 1)
-2 (r + 1) = -2 r - 2:
-12 r + -2 r - 2 + 8
Grouping like terms, -2 r - 12 r - 2 + 8 = (8 - 2) + (-12 r - 2 r):
(8 - 2) + (-12 r - 2 r)
-12 r - 2 r = -14 r:
-14 r + (8 - 2)
8 - 2 = 6:
6 - 14 r
Factor 2 out of 6 - 14 r:
Answer: 2 (3 - 7 r)
Answer:
B
Step-by-step explanation:
