Square roots·√154
√154 =
√154
≈ 12.409674

Square root of 154 — 12.409674 (√154)

Irrational

The square root of 154 is about 12.409674, or exactly √154. It lies between 12 and 13.

As a decimal
≈ 12.409674
Simplified surd
√154 = √154
Between
12 < √154 < 13
Squared
154² = 23716
Cube root
∛154 ≈ 5.360108

Nearby numbers

√151 = √151√152 = 2√38√153 = 3√17√155 = √155√156 = 2√39√157 = √157

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 154?

About 12.409674, or exactly √154.

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 154?

About 5.360108.