Square roots·√127
√127 =
√127
≈ 11.269428

Square root of 127 — 11.269428 (√127)

Irrational

The square root of 127 is about 11.269428, or exactly √127. It lies between 11 and 12.

As a decimal
≈ 11.269428
Simplified surd
√127 = √127
Between
11 < √127 < 12
Squared
127² = 16129
Cube root
∛127 ≈ 5.026526

Nearby numbers

√124 = 2√31√125 = 5√5√126 = 3√14√128 = 8√2√129 = √129√130 = √130

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 127?

About 11.269428, or exactly √127.

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 127?

About 5.026526.