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What is the Square Root of 5381?

The square root of 5381 is 73.3552997404. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5381 = 73.3552997404
CalculatedNon-perfect squareIrrational
Exact form√5381
Perfect squareNo
Number typeIrrational
Verification73.35529974042 ≈ 5381

On this page

How the answer is calculated

We solve x2 = 5381. The resulting value is x = 73.3552997404.

Verification: 73.35529974042 ≈ 5381.

Simplified radical form

The square root of 5381 in simplified radical form is √5381.

There are no square factors that can be taken outside the radical, so √5381 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal735329
Upper or equal745476

Nearby square roots

NumberSquare root
√537873.3348484692
√537973.3416661932
√538073.3484832836
√538173.3552997404
√538273.3621155638
√538373.3689307541
√538473.3757453114

Number properties

Is 5381 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5381 is irrational because 5381 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 5381.