Square root of 89

√89 ≈ 9.4340

√89 is an irrational number, so its decimals never end or repeat. It sits between 9 and 10 because 9² = 81 and 10² = 100.

√89 rounded

Decimal placesValue
09
19.4
29.43
39.434
49.4340
59.43398
10 (digits)9.4339811321

Simplest radical form

89 has no perfect-square factor other than 1, so √89 is already in simplest radical form.

Check the answer

9.4340 × 9.4340 ≈ 89.0004, which is very close to 89.

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

Square roots near 89

NumberSquare root
859.2195
869.2736
879.3274
889.3808
909.4868
919.5394
929.5917
939.6437

All square root answers · Exponent calculator