If \(\sqrt{(a-3)(b+2)}\)=11, a and b being positive integers less than 20, find the value of a and b.

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The number 2 is multiplied once again by 2 to produce the number 4, so 2 is considered a square root of 4. The cube root follows the same lines, except that a number must be multiplied by itself three times.


If \(\sqrt{(a-3)(b+2)}\)=11, a and b being positive integers less than 20, find the value of a and b.