What is the Square Root of 21014?

The square root of 21014 is 144.962064003. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21014 = 144.962064003
CalculatedNon-perfect squareIrrational
Exact form√21014
Perfect squareNo
Number typeIrrational
Verification144.9620640032 ≈ 21014

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How the answer is calculated

We solve x2 = 21014. The resulting value is x = 144.962064003.

Verification: 144.9620640032 ≈ 21014.

Simplified radical form

The square root of 21014 in simplified radical form is √21014.

There are no square factors that can be taken outside the radical, so √21014 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√21011144.9517160988
√21012144.9551654823
√21013144.9586147837
√21014144.962064003
√21015144.9655131402
√21016144.9689621954
√21017144.9724111685

Number properties

Is 21014 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21014 is irrational because 21014 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 21014.