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What is the Square Root of 552?

The square root of 552 is 23.4946802489. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√552 = 23.4946802489
CalculatedNon-perfect squareIrrational
Exact form√552
Perfect squareNo
Number typeIrrational
Verification23.49468024892 ≈ 552

On this page

How the answer is calculated

We solve x2 = 552. The resulting value is x = 23.4946802489.

Verification: 23.49468024892 ≈ 552.

Simplified radical form

The square root of 552 in simplified radical form is 2√138.

This is equivalent to √552, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal23529
Upper or equal24576

Nearby square roots

NumberSquare root
√54923.4307490277
√55023.4520787991
√55123.4733891886
√55223.4946802489
√55323.5159520326
√55423.5372045919
√55523.5584379788

Number properties

Is 552 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√552 is irrational because 552 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 552.