Square root of 78

√78 ≈ 8.8318

√78 is an irrational number, so its decimals never end or repeat. It sits between 8 and 9 because 8² = 64 and 9² = 81.

√78 rounded

Decimal placesValue
09
18.8
28.83
38.832
48.8318
58.83176
10 (digits)8.8317608663

Simplest radical form

78 has no perfect-square factor other than 1, so √78 is already in simplest radical form.

Check the answer

8.8318 × 8.8318 ≈ 78.0007, which is very close to 78.

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

Square roots near 78

NumberSquare root
748.6023
758.6603
768.7178
778.7750
798.8882
808.9443
819
829.0554

All square root answers · Exponent calculator