What is the Square Root of 5342?

The square root of 5342 is 73.0889868585. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5342 = 73.0889868585
CalculatedNon-perfect squareIrrational
Exact form√5342
Perfect squareNo
Number typeIrrational
Verification73.08898685852 ≈ 5342

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How the answer is calculated

We solve x2 = 5342. The resulting value is x = 73.0889868585.

Verification: 73.08898685852 ≈ 5342.

Simplified radical form

The square root of 5342 in simplified radical form is √5342.

There are no square factors that can be taken outside the radical, so √5342 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal735329
Upper or equal745476

Nearby square roots

NumberSquare root
√533973.0684610485
√534073.0753036258
√534173.0821455624
√534273.0889868585
√534373.0958275143
√534473.10266753
√534573.1095069057

Number properties

Is 5342 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5342 is irrational because 5342 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 5342.