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What is the Square Root of 5333?

The square root of 5333 is 73.027392121. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5333 = 73.027392121
CalculatedNon-perfect squareIrrational
Exact form√5333
Perfect squareNo
Number typeIrrational
Verification73.0273921212 ≈ 5333

On this page

How the answer is calculated

We solve x2 = 5333. The resulting value is x = 73.027392121.

Verification: 73.0273921212 ≈ 5333.

Simplified radical form

The square root of 5333 in simplified radical form is √5333.

There are no square factors that can be taken outside the radical, so √5333 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal735329
Upper or equal745476

Nearby square roots

NumberSquare root
√533073.0068489938
√533173.0136973451
√533273.0205450541
√533373.027392121
√533473.034238546
√533573.0410843293
√533673.047929471

Number properties

Is 5333 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5333 is irrational because 5333 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 5333.