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What is the Square Root of 5438?

The square root of 5438 is 73.7427962583. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5438 = 73.7427962583
CalculatedNon-perfect squareIrrational
Exact form√5438
Perfect squareNo
Number typeIrrational
Verification73.74279625832 ≈ 5438

On this page

How the answer is calculated

We solve x2 = 5438. The resulting value is x = 73.7427962583.

Verification: 73.74279625832 ≈ 5438.

Simplified radical form

The square root of 5438 in simplified radical form is √5438.

There are no square factors that can be taken outside the radical, so √5438 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal735329
Upper or equal745476

Nearby square roots

NumberSquare root
√543573.7224524823
√543673.7292343647
√543773.7360156233
√543873.7427962583
√543973.74957627
√544073.7563556583
√544173.7631344236

Number properties

Is 5438 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5438 is irrational because 5438 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 5438.