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What is the Square Root of 5828?

The square root of 5828 is 76.341338736. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5828 = 76.341338736
CalculatedNon-perfect squareIrrational
Exact form√5828
Perfect squareNo
Number typeIrrational
Verification76.3413387362 ≈ 5828

On this page

How the answer is calculated

We solve x2 = 5828. The resulting value is x = 76.341338736.

Verification: 76.3413387362 ≈ 5828.

Simplified radical form

The square root of 5828 in simplified radical form is 2√1457.

This is equivalent to √5828, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal765776
Upper or equal775929

Nearby square roots

NumberSquare root
√582576.3216876124
√582676.328238549
√582776.3347889235
√582876.341338736
√582976.3478879865
√583076.3544366753
√583176.3609848025

Number properties

Is 5828 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5828 is irrational because 5828 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 5828.