Square roots·√137
√137 =
√137
≈ 11.7047

Square root of 137 — 11.7047 (√137)

Irrational

The square root of 137 is about 11.7047, or exactly √137. It lies between 11 and 12.

As a decimal
≈ 11.7047
Simplified surd
√137 = √137
Between
11 < √137 < 12
Squared
137² = 18769
Cube root
∛137 ≈ 5.155137

Nearby numbers

√134 = √134√135 = 3√15√136 = 2√34√138 = √138√139 = √139√140 = 2√35

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 137?

About 11.7047, or exactly √137.

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 137?

About 5.155137.