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What is the Square Root of 5420?

The square root of 5420 is 73.6206492772. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5420 = 73.6206492772
CalculatedNon-perfect squareIrrational
Exact form√5420
Perfect squareNo
Number typeIrrational
Verification73.62064927722 ≈ 5420

On this page

How the answer is calculated

We solve x2 = 5420. The resulting value is x = 73.6206492772.

Verification: 73.62064927722 ≈ 5420.

Simplified radical form

The square root of 5420 in simplified radical form is 2√1355.

This is equivalent to √5420, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal735329
Upper or equal745476

Nearby square roots

NumberSquare root
√541773.6002717386
√541873.6070648783
√541973.6138573911
√542073.6206492772
√542173.6274405368
√542273.63423117
√542373.6410211771

Number properties

Is 5420 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5420 is irrational because 5420 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 5420.