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What is the Square Root of 5362?

The square root of 5362 is 73.2256785561. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5362 = 73.2256785561
CalculatedNon-perfect squareIrrational
Exact form√5362
Perfect squareNo
Number typeIrrational
Verification73.22567855612 ≈ 5362

On this page

How the answer is calculated

We solve x2 = 5362. The resulting value is x = 73.2256785561.

Verification: 73.22567855612 ≈ 5362.

Simplified radical form

The square root of 5362 in simplified radical form is √5362.

There are no square factors that can be taken outside the radical, so √5362 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal735329
Upper or equal745476

Nearby square roots

NumberSquare root
√535973.2051910728
√536073.2120208709
√536173.2188500319
√536273.2256785561
√536373.2325064435
√536473.2393336944
√536573.2461603089

Number properties

Is 5362 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5362 is irrational because 5362 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 5362.