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Root Ratio Crossed Rational Resolution (Posted on 2023-02-22)

Determine all possible positive integers m such that:

          √(4m - 7)
         ...........
          √(m + 1)

is a rational number.

Provide adequate reasoning for your answer.

Submitted by K Sengupta

Rating: 4.0000 (2 votes)

Solution: (Hide)

M=8 is the only possible positive integer solution, for which the given expression equals 5/3.
For an explanation, refer to the solution submitted by Brian Smith in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
A different method	broll	2023-02-22 22:41:08
Solution	Brian Smith	2023-02-22 13:09:31
Computer solution without analytical proof	Larry	2023-02-22 12:58:10

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