Simplify (3 √(5))^2

In a question asking us to simplify, we know that our task is to reduce the number of terms presented as far as possible. We should begin inside the brackets by attempting to express both our numbers, 3 and √(5) in the same terms. To do this, we begin by writing 3 as √(9) giving us √(9) x √(5) which we know is equal to √(45). The root inside the bracket and the square outside it then cancel, giving us 45 as our simplified answer.