Square root of 114

√114 ≈ 10.6771

√114 is an irrational number, so its decimals never end or repeat. It sits between 10 and 11 because 10² = 100 and 11² = 121.

√114 rounded

Simplest radical form

114 has no perfect-square factor other than 1, so √114 is already in simplest radical form.

Check the answer

10.6771 × 10.6771 ≈ 114.0005, which is very close to 114.

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Square roots near 114

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