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What is the Square Root of 4752?

The square root of 4752 is 68.9347517585. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√4752 = 68.9347517585
CalculatedNon-perfect squareIrrational
Exact form√4752
Perfect squareNo
Number typeIrrational
Verification68.93475175852 ≈ 4752

On this page

How the answer is calculated

We solve x2 = 4752. The resulting value is x = 68.9347517585.

Verification: 68.93475175852 ≈ 4752.

Simplified radical form

The square root of 4752 in simplified radical form is 12√33.

This is equivalent to √4752, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal684624
Upper or equal694761

Nearby square roots

NumberSquare root
√474968.9129886161
√475068.9202437605
√475168.9274981412
√475268.9347517585
√475368.9420046126
√475468.9492567038
√475568.9565080322

Number properties

Is 4752 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√4752 is irrational because 4752 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 4752.