√125 =
5√5
≈ 11.18034
Square root of 125 — 11.18034 (5√5)
Irrational
The square root of 125 is about 11.18034, or exactly 5√5. It lies between 11 and 12.
- As a decimal
- ≈ 11.18034
- Simplified surd
- √125 = 5√5
- Between
- 11 < √125 < 12
- Squared
- 125² = 15625
- Cube root
- ∛125 = 5
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.
√125 = √(25 × 5) = 5√5
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 125?
About 11.18034, or exactly 5√5.
Q. Can the surd be simplified?
Yes: 125 = 25 × 5, so 5 comes out and it becomes 5√5.
Q. Between which integers does it fall?
Between 11 and 12.
Q. What is the cube root of 125?
5.