## Proof Exercise #1 Continuation 4

Yes.

Suppose that u and v are positive members of Z such that u/v = a/b and gcd(u,v) = 1.

What, from the following list, do you think, is our next step?

choice #1: Put everything obtained so far into an isosceles trapezoid.

choice #2: Add a to u and add b to v.

choice #3: Square both sides of the equation square root of 2 = u/v.

choice #4: Take the square root of the quadratic function whose coefficients are u, v and 1 (from the highest power

to the lowest power of the variable).

choice #5: Take the mirror reflection of u and v through the vertical axis.

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Suppose that u and v are positive members of Z such that u/v = a/b and gcd(u,v) = 1.

What, from the following list, do you think, is our next step?

choice #1: Put everything obtained so far into an isosceles trapezoid.

choice #2: Add a to u and add b to v.

choice #3: Square both sides of the equation square root of 2 = u/v.

choice #4: Take the square root of the quadratic function whose coefficients are u, v and 1 (from the highest power

to the lowest power of the variable).

choice #5: Take the mirror reflection of u and v through the vertical axis.

(end of page)

(jump to further reading option)

(return to list of proof exercises)