Square Root of 36
The square root of 36 is exactly 6. Yes, 36 is a perfect square. Its square root, 6, is a whole number.
Where √36 sits
36 is a perfect square: 6 × 6 = 36, so √36 is exactly 6. No estimating needed.
| k | k² | Compared to 36 |
|---|---|---|
| 4 | 16 | 20 below |
| 5 | 25 | 11 below |
| 6 | 36 | equal |
| 7 | 49 | 13 above |
| 8 | 64 | 28 above |
| 9 | 81 | 45 above |
Exact form from the prime factors
36 = 2^2 × 3^2. Every prime appears an even number of times, so the whole thing comes out of the square root: √36 = 6.
Frequently Asked Questions
What is the square root of 36?
The square root of 36 is exactly 6.
Is 36 a perfect square?
Yes, 36 is a perfect square. Its square root, 6, is a whole number.
What two whole numbers is √36 between?
None needed -- √36 is exactly 6, a whole number. For context, the perfect squares just before and after 36 are 25 (5²) and 49 (7²).
What are the square roots of the numbers right next to 36?
√35 is about 5.9161, and √37 is about 6.0828. 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 √36 squared?
Exactly 36 -- squaring undoes the square root. Squaring the rounded decimal 6 gives 36, which is why the radical form 6 is the exact answer and the decimal is an approximation.
What is the negative square root of 36?
−6. Every positive number has two square roots, one positive and one negative, because (−6)² is also 36. The radical sign √ by convention means the positive one.
More Number Theory
- Square Root Calculator (look up any number)
- Factors of 36
- GCF Calculator
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