What is the Square Root of 1024?

The square root of 1024 is 32. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1024 = 32
ExactPerfect squareRational
Exact form32
Perfect squareYes
Number typeRational
Verification322 ≈ 1024

On this page

How the answer is calculated

We solve x2 = 1024. The resulting value is x = 32.

Verification: 322 ≈ 1024.

Simplified radical form

The square root of 1024 in simplified radical form is 32.

There are no square factors that can be taken outside the radical, so 32 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal321024
Upper or equal321024

Nearby square roots

NumberSquare root
√102131.9530906173
√102231.9687347263
√102331.9843711834
√102432
√102532.0156211872
√102632.0312347561
√102732.0468407179

Number properties

Is 1024 a perfect square?

Yes. Its square root is the whole number 32.

Is the square root rational or irrational?

32 is rational because it is a whole number.

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 1024.