SQUARE ROOT BY PRIME FACTORIZATION WORKSHEET

Find the square root of each of the following numbers by prime factorization.

1)  36

2) 324

3)  625

4)  4096

5)  400

6)  144

7)  1024

8)  256

9)  2025

10)  3136  √36 =  √(2  2  3  3)

= 2 ⋅ 3

= 6 324 = √(2  2  3  3  3  3)

= 2 ⋅ 3 ⋅ 3

= 18 √625 = √(5  5  5  5)

= 5 ⋅ 5

= 25 √4096 = √(2  2  2  2  ⋅  2  2   2  2  2)

2 ⋅  2 ⋅ 2 ⋅ 2

= 64 √400 = √(2  2  2  2  5  5)

= 2 ⋅ 2 ⋅ 5

= 20 √144 = √(2  2 ⋅  2  3  3)

= 2 ⋅ 2 ⋅ 3

= 12 √1024 = √(2  2 ⋅  2  2  2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2)

= 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2

= 32 √256 = √(2  2 ⋅  2  2  2 ⋅ 2 ⋅ 2)

= 2 ⋅ 2 ⋅ 2 ⋅ 2

= 16 √2025 = √(5  5 ⋅ 3  3  3  3)

= 5 ⋅ 3 ⋅ 3

= 45 √3136 = √(2  2 ⋅ 2  2  2  2 ⋅ 7 ⋅ 7)

= 2 ⋅ 2 ⋅ 2 ⋅ 7

= 56 Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

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