√16 =
4
Exact
Square root of 16 — 4
Exact
The square root of 16 is 4, because 4 × 4 = 16.
- As a decimal
- 4
- Simplified surd
- √16 = 4
- Between
- 4
- Squared
- 16² = 256
- Cube root
- ∛16 ≈ 2.519842
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.
√16 = √(16 × 1) = 4
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 16?
4 exactly.
Q. Can the surd be simplified?
Yes: 16 = 16 × 1, so 4 comes out and it becomes 4.
Q. Between which integers does it fall?
It is the whole number 4.
Q. What is the cube root of 16?
About 2.519842.