Square roots·√138
√138 =
√138
≈ 11.74734

Square root of 138 — 11.74734 (√138)

Irrational

The square root of 138 is about 11.74734, or exactly √138. It lies between 11 and 12.

As a decimal
≈ 11.74734
Simplified surd
√138 = √138
Between
11 < √138 < 12
Squared
138² = 19044
Cube root
∛138 ≈ 5.167649

Nearby numbers

√135 = 3√15√136 = 2√34√137 = √137√139 = √139√140 = 2√35√141 = √141

From 1 to 200

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How to read this

  • The decimal is rounded; the surd form is the exact value.
  • Pulling out a square factor simplifies the surd — √50 = 5√2.
  • If the number is not a perfect square, the decimal never ends (irrational).
  • Knowing which two integers it sits between is enough to estimate in your head.

Frequently asked questions

Q. What is the square root of 138?

About 11.74734, or exactly √138.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 11 and 12.

Q. What is the cube root of 138?

About 5.167649.