Answer:
c
Explanation:
The simplified form of the square root of 45 can be found by factoring 45 into its prime factors and simplifying the square root of each factor:
45 = 3 x 3 x 5
√45 = √(3 x 3 x 5)
Using the product rule of square roots, we can separate the perfect squares from the remaining factors under the radical sign:
√(3 x 3 x 5) = √(3 x 3) x √5
Simplifying the square root of the perfect square 3 x 3:
√(3 x 3) x √5 = 3 x √5
Therefore, the simplified form of √45 is 3√5, which is option C.