The program as originally written, requiring an exact equality, did not find any result. I changed it to ask only for an approximate answer, starting within 1 of equality.  That degree of approximation was too wide, giving many results. I had to narrow it down to within 0.0028 to get down to one solution.

Even trying negative square roots did not produce an exact answer.

sqrt(492) + 48 ~= 70.18

sqrt(4925) ~= 70.18

but the respective values are more precisely approximately 70.1810730128188 and 70.178344238091.

digsets=digs(combinator(9,5,'p'));

for i=1:length(digsets)

  digs=digsets(i,:);

  tea='teatoteam';

  for j=1:5

    tea=replace(tea,lets(j),digs(j));

  end

  team0=str2double(tea(6:9));

  to=str2double(tea(4:5));

  tea0=str2double(tea(1:3));

  for tea=[tea0 -tea0]

    for team=[team0 -team0]

      if  abs(sqrt(tea)+to-sqrt(team))<.0028

        disp([tea   to   team])

        disp([sqrt(tea)+to  sqrt(team)])

      end

    end

  end

end

It finds

         TEA          TO        TEAM
         492          48        4925
         
          70.1810730128188           70.178344238091

          

showing values of LHS and RHS on the line below those of TEA, TO and TEAM.