√140 =
2√35
≈ 11.83216
Square root of 140 — 11.83216 (2√35)
Irrational
The square root of 140 is about 11.83216, or exactly 2√35. It lies between 11 and 12.
- As a decimal
- ≈ 11.83216
- Simplified surd
- √140 = 2√35
- Between
- 11 < √140 < 12
- Squared
- 140² = 19600
- Cube root
- ∛140 ≈ 5.192494
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.
√140 = √(4 × 35) = 2√35
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 140?
About 11.83216, or exactly 2√35.
Q. Can the surd be simplified?
Yes: 140 = 4 × 35, so 2 comes out and it becomes 2√35.
Q. Between which integers does it fall?
Between 11 and 12.
Q. What is the cube root of 140?
About 5.192494.