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What is the Square Root of 3253?

The square root of 3253 is 57.0350769264. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√3253 = 57.0350769264
CalculatedNon-perfect squareIrrational
Exact form√3253
Perfect squareNo
Number typeIrrational
Verification57.03507692642 ≈ 3253

On this page

How the answer is calculated

We solve x2 = 3253. The resulting value is x = 57.0350769264.

Verification: 57.03507692642 ≈ 3253.

Simplified radical form

The square root of 3253 in simplified radical form is √3253.

There are no square factors that can be taken outside the radical, so √3253 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal573249
Upper or equal583364

Nearby square roots

NumberSquare root
√325057.008771255
√325157.0175411606
√325257.0263097175
√325357.0350769264
√325457.0438427878
√325557.0526073024
√325657.0613704707

Number properties

Is 3253 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√3253 is irrational because 3253 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 3253.