The prime factorization of the square root of 225 is 3 x 5.
Explanation
According to the reference, the square root of 225 is 15. This is derived from the prime factorization of 225 itself.
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225 can be expressed as a product of pairs of equal prime factors: 3 x 3 x 5 x 5.
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Therefore, √225 = √(3 x 3 x 5 x 5) = 3 x 5 = 15.
To find the prime factorization of the square root of 225 (which is 15), we break down 15 into its prime factors:
- 15 = 3 x 5
Since both 3 and 5 are prime numbers, the prime factorization of 15 is simply 3 x 5.
Summary Table
| Number | Square Root | Prime Factorization of Square Root |
|---|---|---|
| 225 | 15 | 3 x 5 |
