Square root of 51

√51 ≈ 7.1414

√51 is an irrational number, so its decimals never end or repeat. It sits between 7 and 8 because 7² = 49 and 8² = 64.

√51 rounded

Decimal placesValue
07
17.1
27.14
37.141
47.1414
57.14143
10 (digits)7.1414284285

Simplest radical form

51 has no perfect-square factor other than 1, so √51 is already in simplest radical form.

Check the answer

7.1414 × 7.1414 ≈ 50.9996, which is very close to 51.

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

Square roots near 51

NumberSquare root
476.8557
486.9282
497
507.0711
527.2111
537.2801
547.3485
557.4162

All square root answers · Exponent calculator