Square roots·√213
√213 =
√213
≈ 14.59452

Square root of 213 — 14.59452 (√213)

Irrational

The square root of 213 is about 14.59452, or exactly √213. It lies between 14 and 15.

As a decimal
≈ 14.59452
Simplified surd
√213 = √213
Between
14 < √213 < 15
Squared
213² = 45369
Cube root
∛213 ≈ 5.972093

Nearby numbers

√210 = √210√211 = √211√212 = 2√53√214 = √214√215 = √215√216 = 6√6

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 213?

About 14.59452, or exactly √213.

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 213?

About 5.972093.