Square root of 61

√61 ≈ 7.8102

√61 is an irrational number, so its decimals never end or repeat. It sits between 7 and 8 because 7² = 49 and 8² = 64.

√61 rounded

Decimal placesValue
08
17.8
27.81
37.810
47.8102
57.81025
10 (digits)7.8102496759

Simplest radical form

61 has no perfect-square factor other than 1, so √61 is already in simplest radical form.

Check the answer

7.8102 × 7.8102 ≈ 60.9992, which is very close to 61.

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

Square roots near 61

NumberSquare root
577.5498
587.6158
597.6811
607.7460
627.8740
637.9373
648
658.0623

All square root answers · Exponent calculator