Answer:
c. The square root of 12 is between 4 & 5.
Step-by-step explanation:
a. The square root of 112 is between 10 & 11
i. Find the squares of 10 & 11
10² = 100
11² = 121
Because 100 < 112 < 121, we know the square root of 112 is between 10 & 11
b. The square root of 180 is between 13 & 14
i. Find the squares of 13 & 14
13² = 169
14² = 196
Because 169 < 180 < 196, we know that the square root of 180 is between 13 & 14
c. The square root of 12 is between 4 & 5.
i. Find the squares of 4 & 5
4² = 16
5² = 25
Because 12 < 16 & 25, we know that the square root of 12 is not between 4 & 5.
d. The square root of 5 is between 2 & 3.
i. Find the squares of 2 & 3
2² = 4
3² = 9
Because 4 < 5 < 9, we know that the square root of 5 is between 2 & 3.
