Answer: Answer below
Explanation:
Given √675, we can simplify it by finding the factors of 675.
Prime factorization of 675:
675 ÷ 3 = 225
225 ÷ 3 = 75
75 ÷ 3 = 25
25 ÷ 5 = 5
So the prime factorization of 675 is 3 x 3 x 3 x 5 x 5.
Using the product rule of radicals, we can simplify the expression as follows:
√675 = √(3 x 3 x 3 x 5 x 5)
= √(3 x 3) x √(5 x 5) x √3
= 3√(5 x 5) x √3
= 3 x 5√3
= 15√3
Therefore, the simplest radical form of √675 is 15√3.
Circle final answer: 15√3