Square root of 82

√82 ≈ 9.0554

√82 is an irrational number, so its decimals never end or repeat. It sits between 9 and 10 because 9² = 81 and 10² = 100.

√82 rounded

Decimal placesValue
09
19.1
29.06
39.055
49.0554
59.05539
10 (digits)9.0553851381

Simplest radical form

82 has no perfect-square factor other than 1, so √82 is already in simplest radical form.

Check the answer

9.0554 × 9.0554 ≈ 82.0003, which is very close to 82.

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

Square roots near 82

NumberSquare root
788.8318
798.8882
808.9443
819
839.1104
849.1652
859.2195
869.2736

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