They are 12 and 13
The two whole number which are -6 (nearest to the negative square root of 34) and +6 (nearest to the positive square root of 34).
The closets number to the square root of 54 is √54 √54 = 7.348... → The closest WHOLE number to the square root of 54 is 7.
The mathematically correct answer is -14 and +14. But I expect you want 13 and 14.
,
The square root of 135 is 11.61895. The two whole numbers closest would be 11 and 12.
6 and 7. The square root of 37 is 6.0827625, so the two whole numbers that are closest are 6 and 7.
13 and 14. The square root of 192 is 13.8564065, so the two whole numbers that are closest are 13 and 14.
-10 and +10.
The whole number closest to the square root of 65 is 8. The whole number closest to the square root of 65 is 8.
The numbers are -14 which is closest to -sqrt(192) and 14 which is closest to sqrt(192).
They are 12 and 13
-7 and +7 are the two numbers.
The square root of 89 is approximately 9.4 so 9 and 10 are the closest whole numbers. You could also notice that 9 squared is 81 and 10 squared is 100 which are the closest perfect squares to 81.
14 and 15, closer to 14.
The two whole numbers closest to 162 in square root form are 12 and 13.
For smaller numbers, this is best done by trial and error.