Square Root of 25
The square root of 25 is exactly 5. Yes, 25 is a perfect square. Its square root, 5, is a whole number.
Where √25 sits
25 is a perfect square: 5 × 5 = 25, so √25 is exactly 5. No estimating needed.
| k | k² | Compared to 25 |
|---|---|---|
| 3 | 9 | 16 below |
| 4 | 16 | 9 below |
| 5 | 25 | equal |
| 6 | 36 | 11 above |
| 7 | 49 | 24 above |
| 8 | 64 | 39 above |
Exact form from the prime factors
25 = 5^2. Every prime appears an even number of times, so the whole thing comes out of the square root: √25 = 5.
Frequently Asked Questions
What is the square root of 25?
The square root of 25 is exactly 5.
Is 25 a perfect square?
Yes, 25 is a perfect square. Its square root, 5, is a whole number.
What two whole numbers is √25 between?
None needed -- √25 is exactly 5, a whole number. For context, the perfect squares just before and after 25 are 16 (4²) and 36 (6²).
What are the square roots of the numbers right next to 25?
√24 is about 4.899, and √26 is about 5.099. Square roots increase more slowly as the number gets bigger, which is why consecutive whole numbers have roots that get closer together the higher you go.
What is √25 squared?
Exactly 25 -- squaring undoes the square root. Squaring the rounded decimal 5 gives 25, which is why the radical form 5 is the exact answer and the decimal is an approximation.
What is the negative square root of 25?
−5. Every positive number has two square roots, one positive and one negative, because (−5)² is also 25. The radical sign √ by convention means the positive one.
More Number Theory
- Square Root Calculator (look up any number)
- Factors of 25
- GCF Calculator
- LCM Calculator