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What is the Square Root of 1023?

The square root of 1023 is 31.9843711834. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1023 = 31.9843711834
CalculatedNon-perfect squareIrrational
Exact form√1023
Perfect squareNo
Number typeIrrational
Verification31.98437118342 ≈ 1023

On this page

How the answer is calculated

We solve x2 = 1023. The resulting value is x = 31.9843711834.

Verification: 31.98437118342 ≈ 1023.

Simplified radical form

The square root of 1023 in simplified radical form is √1023.

There are no square factors that can be taken outside the radical, so √1023 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal31961
Upper or equal321024

Nearby square roots

NumberSquare root
√102031.9374388453
√102131.9530906173
√102231.9687347263
√102331.9843711834
√102432
√102532.0156211872
√102632.0312347561

Number properties

Is 1023 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1023 is irrational because 1023 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 1023.