Square Roots and Prime Factorization

The radicand must be a prime number.

The radicand must contain perfect square factors.

The radicand must be a negative number.

The radicand must be an even number.

3 square root 5

5 square root 3

9 square root 5

15 square root 3

The square root of a sum is the sum of the square roots.

The square root of a difference is the difference of the square roots.

The square root of a product is the product of the square roots.

The square root of a quotient is the quotient of the square roots.

6

8

4

2

8 square root 1

2 square root 12

4 square root 3

6 square root 2

3 x 3 x 3 x 2

4 x 4 x 3

2 x 3 x 4 x 4

2 x 2 x 2 x 2 x 3

3 x 3 x 5 x 5

2 x 3 x 5 x 5

2 x 5 x 15

3 x 5 x 10

15 square root 2

5 square root 6

20 square root 1

10 square root 3

3 x 3

2 x 2

4 x 4

5 x 5

10 square root 15

12 square root 10

18 square root 5

15 square root 6