√64 =
8
Exact
Square root of 64 — 8
Exact
The square root of 64 is 8, because 8 × 8 = 64.
- As a decimal
- 8
- Simplified surd
- √64 = 8
- Between
- 8
- Squared
- 64² = 4096
- Cube root
- ∛64 = 4
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.
√64 = √(64 × 1) = 8
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 64?
8 exactly.
Q. Can the surd be simplified?
Yes: 64 = 64 × 1, so 8 comes out and it becomes 8.
Q. Between which integers does it fall?
It is the whole number 8.
Q. What is the cube root of 64?
4.