**Problem 2**

Find
numbers m and n such that _{}.

[Problem submitted by Vin
Lee, LACC Associate Professor of Mathematics.]

**Solution for Problem 2:**

_{}

_{}_{}

_{}

_{}

Equate the non-radical and radical terms to get the following two equations.

1) _{}

2) _{}

Now solve equation 2) for m in terms of n.

_{}

_{}

And substitute this into equation 1).

_{}

_{}

_{}

_{}

_{} , n=6

_{}_{}_{} n = 2, _{}.