√80 =
4√5
≈ 8.944272
Square root of 80 — 8.944272 (4√5)
Irrational
The square root of 80 is about 8.944272, or exactly 4√5. It lies between 8 and 9.
- As a decimal
- ≈ 8.944272
- Simplified surd
- √80 = 4√5
- Between
- 8 < √80 < 9
- Squared
- 80² = 6400
- Cube root
- ∛80 ≈ 4.308869
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.
√80 = √(16 × 5) = 4√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 80?
About 8.944272, or exactly 4√5.
Q. Can the surd be simplified?
Yes: 80 = 16 × 5, so 4 comes out and it becomes 4√5.
Q. Between which integers does it fall?
Between 8 and 9.
Q. What is the cube root of 80?
About 4.308869.