Square root of 191

√191 ≈ 13.8203

√191 is an irrational number, so its decimals never end or repeat. It sits between 13 and 14 because 13² = 169 and 14² = 196.

√191 rounded

Decimal placesValue
014
113.8
213.82
313.820
413.8203
513.82027
10 (digits)13.8202749611

Simplest radical form

191 has no perfect-square factor other than 1, so √191 is already in simplest radical form.

Check the answer

13.8203 × 13.8203 ≈ 191.0007, which is very close to 191.

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

Square roots near 191

NumberSquare root
18713.6748
18813.7113
18913.7477
19013.7840
19213.8564
19313.8924
19413.9284
19513.9642

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