√27 =
3√3
≈ 5.196152
Square root of 27 — 5.196152 (3√3)
Irrational
The square root of 27 is about 5.196152, or exactly 3√3. It lies between 5 and 6.
- As a decimal
- ≈ 5.196152
- Simplified surd
- √27 = 3√3
- Between
- 5 < √27 < 6
- Squared
- 27² = 729
- Cube root
- ∛27 = 3
How the surd is simplified
Pull out the largest square factor. Since 50 = 25 × 2, the root of 25 comes out as 5 and the 2 stays behind: 5√2.
√27 = √(9 × 3) = 3√3
Nearby numbers
From 1 to 200
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How to read this
- The decimal is rounded; the surd form is the exact value.
- Pulling out a square factor simplifies the surd — √50 = 5√2.
- If the number is not a perfect square, the decimal never ends (irrational).
- Knowing which two integers it sits between is enough to estimate in your head.
Frequently asked questions
Q. What is the square root of 27?
About 5.196152, or exactly 3√3.
Q. Can the surd be simplified?
Yes: 27 = 9 × 3, so 3 comes out and it becomes 3√3.
Q. Between which integers does it fall?
Between 5 and 6.
Q. What is the cube root of 27?
3.