Square roots·√214
√214 =
√214
≈ 14.628739

Square root of 214 — 14.628739 (√214)

Irrational

The square root of 214 is about 14.628739, or exactly √214. It lies between 14 and 15.

As a decimal
≈ 14.628739
Simplified surd
√214 = √214
Between
14 < √214 < 15
Squared
214² = 45796
Cube root
∛214 ≈ 5.981424

Nearby numbers

√211 = √211√212 = 2√53√213 = √213√215 = √215√216 = 6√6√217 = √217

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 214?

About 14.628739, or exactly √214.

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 214?

About 5.981424.