Square roots·√149
√149 =
√149
≈ 12.206556

Square root of 149 — 12.206556 (√149)

Irrational

The square root of 149 is about 12.206556, or exactly √149. It lies between 12 and 13.

As a decimal
≈ 12.206556
Simplified surd
√149 = √149
Between
12 < √149 < 13
Squared
149² = 22201
Cube root
∛149 ≈ 5.301459

Nearby numbers

√146 = √146√147 = 7√3√148 = 2√37√150 = 5√6√151 = √151√152 = 2√38

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 149?

About 12.206556, or exactly √149.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 12 and 13.

Q. What is the cube root of 149?

About 5.301459.