Square roots·√221
√221 =
√221
≈ 14.866069

Square root of 221 — 14.866069 (√221)

Irrational

The square root of 221 is about 14.866069, or exactly √221. It lies between 14 and 15.

As a decimal
≈ 14.866069
Simplified surd
√221 = √221
Between
14 < √221 < 15
Squared
221² = 48841
Cube root
∛221 ≈ 6.045944

Nearby numbers

√218 = √218√219 = √219√220 = 2√55√222 = √222√223 = √223√224 = 4√14

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 221?

About 14.866069, or exactly √221.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 14 and 15.

Q. What is the cube root of 221?

About 6.045944.