Question 60935
I think that you might have missed part of the question.  What you have written doesn't make sense.
Perhaps you meant to write:
2 consecutive integers whose sum is the square root of 85. If this is what you meant, then read on:

Let x be the first integer, then (x+1) is the next consecutive integer.  You can write:
{{{sqrt(x+(x+1)) = 85}}} Simplify.
{{{sqrt(2x+1) = 85}}} Square both sides.
{{{2x+1 = 7225}}} Subtract 1 from both sides.
{{{2x = 7224}}} Divide both sides by 2.
{{{x = 3612}}} and
{{{x+1 = 3613}}}

The two consecutive integers would be: 3612 and 3613