What is the Square Root of 21021?

The square root of 21021 is 144.9862062405. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21021 = 144.9862062405
CalculatedNon-perfect squareIrrational
Exact form√21021
Perfect squareNo
Number typeIrrational
Verification144.98620624052 ≈ 21021

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How the answer is calculated

We solve x2 = 21021. The resulting value is x = 144.9862062405.

Verification: 144.98620624052 ≈ 21021.

Simplified radical form

The square root of 21021 in simplified radical form is 7√429.

This is equivalent to √21021, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√21018144.9758600595
√21019144.9793088685
√21020144.9827575955
√21021144.9862062405
√21022144.9896548034
√21023144.9931032843
√21024144.9965516831

Number properties

Is 21021 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21021 is irrational because 21021 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 21021.