Square roots·√229
√229 =
√229
≈ 15.132746

Square root of 229 — 15.132746 (√229)

Irrational

The square root of 229 is about 15.132746, or exactly √229. It lies between 15 and 16.

As a decimal
≈ 15.132746
Simplified surd
√229 = √229
Between
15 < √229 < 16
Squared
229² = 52441
Cube root
∛229 ≈ 6.118033

Nearby numbers

√226 = √226√227 = √227√228 = 2√57√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 229?

About 15.132746, or exactly √229.

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 229?

About 6.118033.