Driving with a shaking steering wheel when braking can be distressing and indicative of serious suspension system problems, compromising driving comfort, braking effectiveness, and overall safety.
Although the vehicle might still be operable, shaking can compromise driving comfort, effectiveness, and overall safety; for this reason, it’s wise to have it inspected as soon as possible by a mechanic to pinpoint and address its root cause; otherwise the issue could worsen significantly and compromise vehicle safety further.