Perfect Knowledge of Square Roots
Number Theory
Level
2
True or False?
If you knew all infinite decimal places of the square roots of all prime numbers, would you also know all infinite decimal places of the square roots of all other numbers (assuming computations would not take infinitely)?
No
Yes
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1 solution
This underlies the concept of prime factorization. Every number can be written as product of primes and 1. For example the square root of 6 is the same as the square root of 2 multiplied by which square root of 3.