What is one cheak the legislative branch has over the judicial branch? approving judicial nominees?

Yes, one check that the legislative branch has over the judicial branch is the power to approve or reject judicial nominees. The appointment of judges to federal courts, including the Supreme Court, is made by the President, but confirmation of those nominees is done by the Senate. The Senate Judiciary Committee holds hearings and examines the qualifications, opinions, and background of judicial nominees before making a recommendation for confirmation or rejection to the full Senate. This allows the legislative branch to have a say in the composition of the judiciary, influencing the ideological balance and ensuring that qualified individuals are appointed to the bench.