Square root of 138

√138 ≈ 11.7473

√138 is an irrational number, so its decimals never end or repeat. It sits between 11 and 12 because 11² = 121 and 12² = 144.

√138 rounded

Decimal placesValue
012
111.7
211.75
311.747
411.7473
511.74734
10 (digits)11.7473401245

Simplest radical form

138 has no perfect-square factor other than 1, so √138 is already in simplest radical form.

Check the answer

11.7473 × 11.7473 ≈ 137.9991, which is very close to 138.

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

Square roots near 138

NumberSquare root
13411.5758
13511.6190
13611.6619
13711.7047
13911.7898
14011.8322
14111.8743
14211.9164

All square root answers · Exponent calculator