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What is the Square Root of 4689?

The square root of 4689 is 68.4762732631. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√4689 = 68.4762732631
CalculatedNon-perfect squareIrrational
Exact form√4689
Perfect squareNo
Number typeIrrational
Verification68.47627326312 ≈ 4689

On this page

How the answer is calculated

We solve x2 = 4689. The resulting value is x = 68.4762732631.

Verification: 68.47627326312 ≈ 4689.

Simplified radical form

The square root of 4689 in simplified radical form is 3√521.

This is equivalent to √4689, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal684624
Upper or equal694761

Nearby square roots

NumberSquare root
√468668.4543643605
√468768.4616681071
√468868.4689710745
√468968.4762732631
√469068.4835746731
√469168.4908753047
√469268.4981751582

Number properties

Is 4689 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√4689 is irrational because 4689 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 4689.