Square root of 2

√2 ≈ 1.4142

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

√2 rounded

Decimal placesValue
01
11.4
21.41
31.414
41.4142
51.41421
10 (digits)1.4142135624

Simplest radical form

2 has no perfect-square factor other than 1, so √2 is already in simplest radical form.

Check the answer

1.4142 × 1.4142 ≈ 2.0000, which is very close to 2.

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Square roots near 2

NumberSquare root
11
31.7321
42
52.2361
62.4495

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