exam Maths Puzzle Numerical Ability

Is sqrt 121 rational or irrational? Thank you for your help, and you do a wonderful job giving very great details for the problems!

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I need steps for this thanks

Solve the linear system by any method. 3x-2y=3 6x+2y=3
Write as a single logorithm:
(1/2)ln(x^2+1)-4ln(1/2)-(1/2)[ln(x-4)+ln x]