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What is the Square Root of 4764?

The square root of 4764 is 69.0217357069. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√4764 = 69.0217357069
CalculatedNon-perfect squareIrrational
Exact form√4764
Perfect squareNo
Number typeIrrational
Verification69.02173570692 ≈ 4764

On this page

How the answer is calculated

We solve x2 = 4764. The resulting value is x = 69.0217357069.

Verification: 69.02173570692 ≈ 4764.

Simplified radical form

The square root of 4764 in simplified radical form is 2√1191.

This is equivalent to √4764, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal694761
Upper or equal704900

Nearby square roots

NumberSquare root
√476169
√476269.0072459963
√476369.0144912319
√476469.0217357069
√476569.0289794217
√476669.0362223764
√476769.0434645712

Number properties

Is 4764 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√4764 is irrational because 4764 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 4764.