Square roots·√218
√218 =
√218
≈ 14.764823

Square root of 218 — 14.764823 (√218)

Irrational

The square root of 218 is about 14.764823, or exactly √218. It lies between 14 and 15.

As a decimal
≈ 14.764823
Simplified surd
√218 = √218
Between
14 < √218 < 15
Squared
218² = 47524
Cube root
∛218 ≈ 6.018462

Nearby numbers

√215 = √215√216 = 6√6√217 = √217√219 = √219√220 = 2√55√221 = √221

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 218?

About 14.764823, or exactly √218.

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 218?

About 6.018462.