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What is the Square Root of 21012?

The square root of 21012 is 144.9551654823. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21012 = 144.9551654823
CalculatedNon-perfect squareIrrational
Exact form√21012
Perfect squareNo
Number typeIrrational
Verification144.95516548232 ≈ 21012

On this page

How the answer is calculated

We solve x2 = 21012. The resulting value is x = 144.9551654823.

Verification: 144.95516548232 ≈ 21012.

Simplified radical form

The square root of 21012 in simplified radical form is 2√5253.

This is equivalent to √21012, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√21009144.9448170857
√21010144.9482666333
√21011144.9517160988
√21012144.9551654823
√21013144.9586147837
√21014144.962064003
√21015144.9655131402

Number properties

Is 21012 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21012 is irrational because 21012 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 21012.