Square roots·√23
√23 =
√23
≈ 4.795832

Square root of 23 — 4.795832 (√23)

Irrational

The square root of 23 is about 4.795832, or exactly √23. It lies between 4 and 5.

As a decimal
≈ 4.795832
Simplified surd
√23 = √23
Between
4 < √23 < 5
Squared
23² = 529
Cube root
∛23 ≈ 2.843867

Nearby numbers

√20 = 2√5√21 = √21√22 = √22√24 = 2√6√25 = 5√26 = √26

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 23?

About 4.795832, or exactly √23.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 4 and 5.

Q. What is the cube root of 23?

About 2.843867.