What is the Square Root of 5323?

The square root of 5323 is 72.9588925355. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5323 = 72.9588925355
CalculatedNon-perfect squareIrrational
Exact form√5323
Perfect squareNo
Number typeIrrational
Verification72.95889253552 ≈ 5323

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How the answer is calculated

We solve x2 = 5323. The resulting value is x = 72.9588925355.

Verification: 72.95889253552 ≈ 5323.

Simplified radical form

The square root of 5323 in simplified radical form is √5323.

There are no square factors that can be taken outside the radical, so √5323 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal725184
Upper or equal735329

Nearby square roots

NumberSquare root
√532072.9383301152
√532172.9451848993
√532272.9520390394
√532372.9588925355
√532472.9657453878
√532572.9725975966
√532672.9794491621

Number properties

Is 5323 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5323 is irrational because 5323 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 5323.