Square roots·√226
√226 =
√226
≈ 15.033296

Square root of 226 — 15.033296 (√226)

Irrational

The square root of 226 is about 15.033296, or exactly √226. It lies between 15 and 16.

As a decimal
≈ 15.033296
Simplified surd
√226 = √226
Between
15 < √226 < 16
Squared
226² = 51076
Cube root
∛226 ≈ 6.091199

Nearby numbers

√223 = √223√224 = 4√14√225 = 15√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 226?

About 15.033296, or exactly √226.

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 226?

About 6.091199.