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What is the Square Root of 5428?

The square root of 5428 is 73.6749618256. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5428 = 73.6749618256
CalculatedNon-perfect squareIrrational
Exact form√5428
Perfect squareNo
Number typeIrrational
Verification73.67496182562 ≈ 5428

On this page

How the answer is calculated

We solve x2 = 5428. The resulting value is x = 73.6749618256.

Verification: 73.67496182562 ≈ 5428.

Simplified radical form

The square root of 5428 in simplified radical form is 2√1357.

This is equivalent to √5428, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal735329
Upper or equal745476

Nearby square roots

NumberSquare root
√542573.6545993133
√542673.6613874428
√542773.6681749469
√542873.6749618256
√542973.6817480792
√543073.6885337078
√543173.6953187116

Number properties

Is 5428 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5428 is irrational because 5428 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 5428.