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What is the Square Root of 5338?

The square root of 5338 is 73.0616178304. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5338 = 73.0616178304
CalculatedNon-perfect squareIrrational
Exact form√5338
Perfect squareNo
Number typeIrrational
Verification73.06161783042 ≈ 5338

On this page

How the answer is calculated

We solve x2 = 5338. The resulting value is x = 73.0616178304.

Verification: 73.06161783042 ≈ 5338.

Simplified radical form

The square root of 5338 in simplified radical form is √5338.

There are no square factors that can be taken outside the radical, so √5338 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal735329
Upper or equal745476

Nearby square roots

NumberSquare root
√533573.0410843293
√533673.047929471
√533773.0547739713
√533873.0616178304
√533973.0684610485
√534073.0753036258
√534173.0821455624

Number properties

Is 5338 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5338 is irrational because 5338 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 5338.