Sqrt between ints

Which two consecutive integers does the square root lie in? *

√45
√23
√71
√7
√86

Correct answer:

a45 =  6
b45 =  7
a23 =  4
b23 =  5
a71 =  8
b71 =  9
a7 =  2
b7 =  3
a86 =  9
b86 =  10

Step-by-step explanation:

a45=45=6 s45=a452=62=36
b45=a45+1=6+1=7 S45=b452=72=49 6 < 45 = 6.7082039324994 < 7
a23=23=4 s23=a232=42=16
b23=a23+1=4+1=5 S23=b232=52=25 4 < 23 = 4.7958315233127 < 5
a71=71=8 s71=a712=82=64
b71=a71+1=8+1=9 S71=b712=92=81 8 < 71 = 8.4261497731764 < 9
a7=7=2 s7=a72=22=4
b7=a7+1=2+1=3 S7=b72=32=9 2 < 7 = 2.6457513110646 < 3
a86=86=9 s86=a862=92=81
b86=a86+1=9+1=10 S86=b862=102=100 9 < 86 = 9.2736184954957 < 10



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