What is the Square Root of 5317?

The square root of 5317 is 72.9177618965. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5317 = 72.9177618965
CalculatedNon-perfect squareIrrational
Exact form√5317
Perfect squareNo
Number typeIrrational
Verification72.91776189652 ≈ 5317

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How the answer is calculated

We solve x2 = 5317. The resulting value is x = 72.9177618965.

Verification: 72.91776189652 ≈ 5317.

Simplified radical form

The square root of 5317 in simplified radical form is √5317.

There are no square factors that can be taken outside the radical, so √5317 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal725184
Upper or equal735329

Nearby square roots

NumberSquare root
√531472.8971878744
√531572.9040465269
√531672.9109045342
√531772.9177618965
√531872.924618614
√531972.9314746869
√532072.9383301152

Number properties

Is 5317 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5317 is irrational because 5317 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 5317.