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ProfessorOh, dude, the square root of 138 is between 11 and 12 because 11 squared is 121 and 12 squared is 144. So, like, the square root of 138 is between 11 and 12, but who really cares, right? Just use a calculator or something if you need the exact numbers.
Ah, what a happy little question! The square root of 138 is between two consecutive whole numbers. If we look closely, we can see that the square root of 138 is between 11 and 12. Isn't it wonderful how numbers can dance together like that?
Let me list some perfect square numbers for you that may be helpful.
0*0 = 0
1*1 = 1
2*2 = 4
3*3 = 9
4*4 = 16
5*5 = 25
6*6 = 36
7*7 = 49
8*8 = 64
9*9 = 81
10*10 = 100
11*11 = 121
12*12 = 144
13*13 = 169
You want to know between which 2 whole numbers does sqrt(138) lie.
sqrt(138) is asking, what number times itself gives me 138.
138 is larger than 121 (11*11) and smaller than 144 (12*12). This tells me that sqrt(138) lies somewhere between 11 and 12.
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