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Q: What are the two whole numbers closest to the square root of 162?

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13 and 14. The square root of 192 is 13.8564065, so the two whole numbers that are closest are 13 and 14.

6 and 7. The square root of 37 is 6.0827625, so the two whole numbers that are closest are 6 and 7.

4x4=16, and 5x5=25, so 4 and 5 are the whole numbers closest to the square root of 19. [And incidentally of all the square roots of all the whole numbers between 16 and 25.]

The whole number closest to the square root of 65 is 8. The whole number closest to the square root of 65 is 8.

-12 and +12

-10 and +10.

The numbers are -14 which is closest to -sqrt(192) and 14 which is closest to sqrt(192).

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 square root of 15 being 3.87 the closest whole number would be 4

For smaller numbers, this is best done by trial and error.

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).

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