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These sample problems below for Estimating Square Roots were generated by the MathScore.com engine.

Sample Problems For Estimating Square Roots

Complexity=10

Between which two integers does the square root fall?
i.e. √15: Lower integer = 3, Higher integer = 4
1.  
   34
Lower integer: Higher integer: 2.  
   83
Lower integer: Higher integer:

Complexity=12

Between which two integers does the square root fall?
i.e. √15: Lower integer = 3, Higher integer = 4
1.  
   141
Lower integer: Higher integer: 2.  
   39
Lower integer: Higher integer:

Complexity=15

Between which two integers does the square root fall?
i.e. √15: Lower integer = 3, Higher integer = 4
1.  
   98
Lower integer: Higher integer: 2.  
   12
Lower integer: Higher integer:

Complexity=20

Between which two integers does the square root fall?
i.e. √15: Lower integer = 3, Higher integer = 4
1.  
   298
Lower integer: Higher integer: 2.  
   70
Lower integer: Higher integer:

Answers

Complexity=10

Between which two integers does the square root fall?
i.e. √15: Lower integer = 3, Higher integer = 4
#ProblemCorrect AnswerYour Answer
1
   34
 Lower integer: Higher integer:
Solution
52 = 25
62 = 36
Since 34 is between these two numbers,
   34
must be between 5 and 6.
To be exact,
   34
= 5.831
#ProblemCorrect AnswerYour Answer
2
   83
 Lower integer: Higher integer:
Solution
92 = 81
102 = 100
Since 83 is between these two numbers,
   83
must be between 9 and 10.
To be exact,
   83
= 9.1104

Complexity=12

Between which two integers does the square root fall?
i.e. √15: Lower integer = 3, Higher integer = 4
#ProblemCorrect AnswerYour Answer
1
   141
 Lower integer: Higher integer:
Solution
112 = 121
122 = 144
Since 141 is between these two numbers,
   141
must be between 11 and 12.
To be exact,
   141
= 11.8743
#ProblemCorrect AnswerYour Answer
2
   39
 Lower integer: Higher integer:
Solution
62 = 36
72 = 49
Since 39 is between these two numbers,
   39
must be between 6 and 7.
To be exact,
   39
= 6.245

Complexity=15

Between which two integers does the square root fall?
i.e. √15: Lower integer = 3, Higher integer = 4
#ProblemCorrect AnswerYour Answer
1
   98
 Lower integer: Higher integer:
Solution
92 = 81
102 = 100
Since 98 is between these two numbers,
   98
must be between 9 and 10.
To be exact,
   98
= 9.8995
#ProblemCorrect AnswerYour Answer
2
   12
 Lower integer: Higher integer:
Solution
32 = 9
42 = 16
Since 12 is between these two numbers,
   12
must be between 3 and 4.
To be exact,
   12
= 3.4641

Complexity=20

Between which two integers does the square root fall?
i.e. √15: Lower integer = 3, Higher integer = 4
#ProblemCorrect AnswerYour Answer
1
   298
 Lower integer: Higher integer:
Solution
172 = 289
182 = 324
Since 298 is between these two numbers,
   298
must be between 17 and 18.
To be exact,
   298
= 17.2627
#ProblemCorrect AnswerYour Answer
2
   70
 Lower integer: Higher integer:
Solution
82 = 64
92 = 81
Since 70 is between these two numbers,
   70
must be between 8 and 9.
To be exact,
   70
= 8.3666

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