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What is the Square Root of 2021?

The square root of 2021 is 44.955533586. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√2021 = 44.955533586
CalculatedNon-perfect squareIrrational
Exact form√2021
Perfect squareNo
Number typeIrrational
Verification44.9555335862 ≈ 2021

On this page

How the answer is calculated

We solve x2 = 2021. The resulting value is x = 44.955533586.

Verification: 44.9555335862 ≈ 2021.

Simplified radical form

The square root of 2021 in simplified radical form is √2021.

There are no square factors that can be taken outside the radical, so √2021 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal441936
Upper or equal452025

Nearby square roots

NumberSquare root
√201844.9221548904
√201944.9332838773
√202044.9444101085
√202144.955533586
√202244.9666543118
√202344.9777722881
√202444.9888875168

Number properties

Is 2021 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√2021 is irrational because 2021 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 2021.