Question about solve function for system of non linear equations

[Rich]

Hi,

Is there a better way to solve a system of equations on the Prime.

When entering:
solve([1=a*b 1=a*(-b^2+1)^.5], [a b])

I am getting an error:

"[b, SQRT(-b^2+1)] is not rational w.r.t. b Error Bad Argument Value" (the SQRT was an actual square root symbol)

I am able to do the example in the user manual without any issues but the above system of equations is giving me an error.

Of course doing it by hand i can get {[a = 0.7071067812, b= 1.414213562]}

Thanks...