√188 =
2√47
≈ 13.711309
Square root of 188 — 13.711309 (2√47)
Irrational
The square root of 188 is about 13.711309, or exactly 2√47. It lies between 13 and 14.
- As a decimal
- ≈ 13.711309
- Simplified surd
- √188 = 2√47
- Between
- 13 < √188 < 14
- Squared
- 188² = 35344
- Cube root
- ∛188 ≈ 5.728654
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.
√188 = √(4 × 47) = 2√47
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 188?
About 13.711309, or exactly 2√47.
Q. Can the surd be simplified?
Yes: 188 = 4 × 47, so 2 comes out and it becomes 2√47.
Q. Between which integers does it fall?
Between 13 and 14.
Q. What is the cube root of 188?
About 5.728654.