Square root of 47

√47 ≈ 6.8557

√47 is an irrational number, so its decimals never end or repeat. It sits between 6 and 7 because 6² = 36 and 7² = 49.

√47 rounded

Decimal placesValue
07
16.9
26.86
36.856
46.8557
56.85565
10 (digits)6.8556546004

Simplest radical form

47 has no perfect-square factor other than 1, so √47 is already in simplest radical form.

Check the answer

6.8557 × 6.8557 ≈ 47.0006, which is very close to 47.

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

Square roots near 47

NumberSquare root
436.5574
446.6332
456.7082
466.7823
486.9282
497
507.0711
517.1414

All square root answers · Exponent calculator