√56 =
2√14
≈ 7.483315
Square root of 56 — 7.483315 (2√14)
Irrational
The square root of 56 is about 7.483315, or exactly 2√14. It lies between 7 and 8.
- As a decimal
- ≈ 7.483315
- Simplified surd
- √56 = 2√14
- Between
- 7 < √56 < 8
- Squared
- 56² = 3136
- Cube root
- ∛56 ≈ 3.825862
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.
√56 = √(4 × 14) = 2√14
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 56?
About 7.483315, or exactly 2√14.
Q. Can the surd be simplified?
Yes: 56 = 4 × 14, so 2 comes out and it becomes 2√14.
Q. Between which integers does it fall?
Between 7 and 8.
Q. What is the cube root of 56?
About 3.825862.