Square root of 3

√3 ≈ 1.7321

√3 is an irrational number, so its decimals never end or repeat. It sits between 1 and 2 because 1² = 1 and 2² = 4.

√3 rounded

Decimal placesValue
02
11.7
21.73
31.732
41.7321
51.73205
10 (digits)1.7320508076

Simplest radical form

3 has no perfect-square factor other than 1, so √3 is already in simplest radical form.

Check the answer

1.7321 × 1.7321 ≈ 3.0002, which is very close to 3.

Need another number? Use the square root calculator (also cube roots and other roots).

Square roots near 3

NumberSquare root
11
21.4142
42
52.2361
62.4495
72.6458

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