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What is the Square Root of 27213?

The square root of 27213 is 164.9636323557. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27213 = 164.9636323557
CalculatedNon-perfect squareIrrational
Exact form√27213
Perfect squareNo
Number typeIrrational
Verification164.96363235572 ≈ 27213

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How the answer is calculated

We solve x2 = 27213. The resulting value is x = 164.9636323557.

Verification: 164.96363235572 ≈ 27213.

Simplified radical form

The square root of 27213 in simplified radical form is √27213.

There are no square factors that can be taken outside the radical, so √27213 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27210164.9545391919
√27211164.9575703022
√27212164.9606013568
√27213164.9636323557
√27214164.966663299
√27215164.9696941865
√27216164.9727250184

Number properties

Is 27213 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27213 is irrational because 27213 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 27213.