Answer:
1) sqrt(30) lies between 5 and 6 because:
5² < 30 < 6²
25 < 30 < 36
It's almost midway between 5 and 6, slightly closer to 5.
2) sqrt(53) lies between 7 and 8 because
7² < 53 < 8²
49 < 53 < 64
It's closer to 7 as compared to 8.
see below
Explanation:
sqrt(30)
30 is between 25 and 36
sqrt(25) < sqrt(30) < sqrt(36)
5 < sqrt(30) < 6
30 -25 is 5 steps
36-30 is 6 steps
It is about 1/2 way between 5 and 6 but a tiny bit closer to 5
sqrt (53)
53 is between 49 and 64
sqrt(49) < sqrt(53) < sqrt(64)
7<sqrt(53) 8
53-49 is 4
64-53 =11
sqrt(53) is about 1/3 of the way between 7 and 8
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