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What is the Square Root of 5380?

The square root of 5380 is 73.3484832836. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5380 = 73.3484832836
CalculatedNon-perfect squareIrrational
Exact form√5380
Perfect squareNo
Number typeIrrational
Verification73.34848328362 ≈ 5380

On this page

How the answer is calculated

We solve x2 = 5380. The resulting value is x = 73.3484832836.

Verification: 73.34848328362 ≈ 5380.

Simplified radical form

The square root of 5380 in simplified radical form is 2√1345.

This is equivalent to √5380, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal735329
Upper or equal745476

Nearby square roots

NumberSquare root
√537773.3280301113
√537873.3348484692
√537973.3416661932
√538073.3484832836
√538173.3552997404
√538273.3621155638
√538373.3689307541

Number properties

Is 5380 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5380 is irrational because 5380 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 5380.