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What is the Square Root of 211?

The square root of 211 is 14.5258390463. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√211 = 14.5258390463
CalculatedNon-perfect squareIrrational
Exact form√211
Perfect squareNo
Number typeIrrational
Verification14.52583904632 ≈ 211

On this page

How the answer is calculated

We solve x2 = 211. The resulting value is x = 14.5258390463.

Verification: 14.52583904632 ≈ 211.

Simplified radical form

The square root of 211 in simplified radical form is √211.

There are no square factors that can be taken outside the radical, so √211 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14196
Upper or equal15225

Nearby square roots

NumberSquare root
√20814.4222051019
√20914.4568322948
√21014.4913767462
√21114.5258390463
√21214.5602197786
√21314.5945195193
√21414.6287388383

Number properties

Is 211 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√211 is irrational because 211 is not a perfect square.

Visual guide

Square Root function graph

See how the result changes as the input moves across positive and negative values. Square roots are shown for non-negative inputs; cube roots continue through negative inputs.

Common questions

Frequently asked questions

It asks for the number that, when raised to the power of 2, equals 211.