Square roots·√227
√227 =
√227
≈ 15.066519

Square root of 227 — 15.066519 (√227)

Irrational

The square root of 227 is about 15.066519, or exactly √227. It lies between 15 and 16.

As a decimal
≈ 15.066519
Simplified surd
√227 = √227
Between
15 < √227 < 16
Squared
227² = 51529
Cube root
∛227 ≈ 6.10017

Nearby numbers

√224 = 4√14√225 = 15√226 = √226√228 = 2√57√229 = √229√230 = √230

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 227?

About 15.066519, or exactly √227.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 15 and 16.

Q. What is the cube root of 227?

About 6.10017.