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What is the Square Root of 4772?

The square root of 4772 is 69.0796641567. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√4772 = 69.0796641567
CalculatedNon-perfect squareIrrational
Exact form√4772
Perfect squareNo
Number typeIrrational
Verification69.07966415672 ≈ 4772

On this page

How the answer is calculated

We solve x2 = 4772. The resulting value is x = 69.0796641567.

Verification: 69.07966415672 ≈ 4772.

Simplified radical form

The square root of 4772 in simplified radical form is 2√1193.

This is equivalent to √4772, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal694761
Upper or equal704900

Nearby square roots

NumberSquare root
√476969.0579466825
√477069.0651865993
√477169.0724257573
√477269.0796641567
√477369.0869017977
√477469.0941386805
√477569.1013748054

Number properties

Is 4772 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√4772 is irrational because 4772 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 4772.