Write √45 in the form of k√5, where k is an integer?

√45= 3√5

√45 can be broken up into √9*√5. If you ignorr the square root sign for now, youll see that 9*5=45. Then by looking at the square roots individually, √9 is 3 (3*3=9). √5 cannot be simplified further. Therefore 3√5 is the answer.

√45
= √(9 * 5)
= √(3^2 * 5)
= √(3^2) * √5
= 3√5

Therefore, k = 3.