Although 2^(1/2) + 3^(1/2) does not equal the square root of an integer, 27^(1/2) + 48^(1/2) does. Find every set of different positive integers p, q, and r all less than 100 such that p and q are not perfect squares and p^(1/2) + q^(1/2) = r^(1/2).
Although 2^(1/2) + 3^(1/2) does not equal the square root of an integer, 27^(1/2) + 48^(1/2) does. Find every set of different positive integers p, q, and r all less than 100 such that p and q are not perfect squares and p^(1/2) + q^(1/2) = r^(1/2).
Here is a start but a solution without restrictions.
If where will work.
Now you must impose the restrictions.