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What is the Square Root of 2001?

The square root of 2001 is 44.7325384927. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√2001 = 44.7325384927
CalculatedNon-perfect squareIrrational
Exact form√2001
Perfect squareNo
Number typeIrrational
Verification44.73253849272 ≈ 2001

On this page

How the answer is calculated

We solve x2 = 2001. The resulting value is x = 44.7325384927.

Verification: 44.73253849272 ≈ 2001.

Simplified radical form

The square root of 2001 in simplified radical form is √2001.

There are no square factors that can be taken outside the radical, so √2001 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal441936
Upper or equal452025

Nearby square roots

NumberSquare root
√199844.6989932773
√199944.7101778122
√200044.72135955
√200144.7325384927
√200244.7437146424
√200344.7548880012
√200444.7660585712

Number properties

Is 2001 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√2001 is irrational because 2001 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 2001.