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What is the Square Root of 2012?

The square root of 2012 is 44.855322984. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√2012 = 44.855322984
CalculatedNon-perfect squareIrrational
Exact form√2012
Perfect squareNo
Number typeIrrational
Verification44.8553229842 ≈ 2012

On this page

How the answer is calculated

We solve x2 = 2012. The resulting value is x = 44.855322984.

Verification: 44.8553229842 ≈ 2012.

Simplified radical form

The square root of 2012 in simplified radical form is 2√503.

This is equivalent to √2012, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal441936
Upper or equal452025

Nearby square roots

NumberSquare root
√200944.821869662
√201044.8330235429
√201144.8441746496
√201244.855322984
√201344.8664685483
√201444.8776113446
√201544.8887513749

Number properties

Is 2012 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√2012 is irrational because 2012 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 2012.