Square roots·√230
√230 =
√230
≈ 15.165751

Square root of 230 — 15.165751 (√230)

Irrational

The square root of 230 is about 15.165751, or exactly √230. It lies between 15 and 16.

As a decimal
≈ 15.165751
Simplified surd
√230 = √230
Between
15 < √230 < 16
Squared
230² = 52900
Cube root
∛230 ≈ 6.126926

Nearby numbers

√227 = √227√228 = 2√57√229 = √229

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 230?

About 15.165751, or exactly √230.

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 230?

About 6.126926.