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What is the Square Root of 452?

The square root of 452 is 21.2602916255. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√452 = 21.2602916255
CalculatedNon-perfect squareIrrational
Exact form√452
Perfect squareNo
Number typeIrrational
Verification21.26029162552 ≈ 452

On this page

How the answer is calculated

We solve x2 = 452. The resulting value is x = 21.2602916255.

Verification: 21.26029162552 ≈ 452.

Simplified radical form

The square root of 452 in simplified radical form is 2√113.

This is equivalent to √452, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal21441
Upper or equal22484

Nearby square roots

NumberSquare root
√44921.1896201004
√45021.2132034356
√45121.2367605816
√45221.2602916255
√45321.2837966538
√45421.3072757527
√45521.3307290077

Number properties

Is 452 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√452 is irrational because 452 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 452.