Square root of 180

√180 ≈ 13.4164

√180 is an irrational number, so its decimals never end or repeat. It sits between 13 and 14 because 13² = 169 and 14² = 196.

√180 rounded

Decimal placesValue
013
113.4
213.42
313.416
413.4164
513.41641
10 (digits)13.4164078650

Simplest radical form

180 = 36 × 5 and √36 = 6, so √180 = 6√5.

Check the answer

13.4164 × 13.4164 ≈ 179.9998, which is very close to 180.

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

Square roots near 180

NumberSquare root
17613.2665
17713.3041
17813.3417
17913.3791
18113.4536
18213.4907
18313.5277
18413.5647

All square root answers · Exponent calculator