What is the Square Root of 5737?

The square root of 5737 is 75.742986474. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5737 = 75.742986474
CalculatedNon-perfect squareIrrational
Exact form√5737
Perfect squareNo
Number typeIrrational
Verification75.7429864742 ≈ 5737

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How the answer is calculated

We solve x2 = 5737. The resulting value is x = 75.742986474.

Verification: 75.7429864742 ≈ 5737.

Simplified radical form

The square root of 5737 in simplified radical form is √5737.

There are no square factors that can be taken outside the radical, so √5737 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal755625
Upper or equal765776

Nearby square roots

NumberSquare root
√573475.7231800706
√573575.7297827806
√573675.736384915
√573775.742986474
√573875.7495874576
√573975.7561878661
√574075.7627876995

Number properties

Is 5737 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5737 is irrational because 5737 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 5737.