Square roots·√151
√151 =
√151
≈ 12.288206

Square root of 151 — 12.288206 (√151)

Irrational

The square root of 151 is about 12.288206, or exactly √151. It lies between 12 and 13.

As a decimal
≈ 12.288206
Simplified surd
√151 = √151
Between
12 < √151 < 13
Squared
151² = 22801
Cube root
∛151 ≈ 5.325074

Nearby numbers

√148 = 2√37√149 = √149√150 = 5√6√152 = 2√38√153 = 3√17√154 = √154

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 151?

About 12.288206, or exactly √151.

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 151?

About 5.325074.