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What is the Square Root of 4788?

The square root of 4788 is 69.195375568. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√4788 = 69.195375568
CalculatedNon-perfect squareIrrational
Exact form√4788
Perfect squareNo
Number typeIrrational
Verification69.1953755682 ≈ 4788

On this page

How the answer is calculated

We solve x2 = 4788. The resulting value is x = 69.195375568.

Verification: 69.1953755682 ≈ 4788.

Simplified radical form

The square root of 4788 in simplified radical form is 6√133.

This is equivalent to √4788, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal694761
Upper or equal704900

Nearby square roots

NumberSquare root
√478569.1736944221
√478669.1809222257
√478769.1881492743
√478869.195375568
√478969.2026011072
√479069.209825892
√479169.2170499227

Number properties

Is 4788 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√4788 is irrational because 4788 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 4788.