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What is the Square Root of 5389?

The square root of 5389 is 73.4098086089. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5389 = 73.4098086089
CalculatedNon-perfect squareIrrational
Exact form√5389
Perfect squareNo
Number typeIrrational
Verification73.40980860892 ≈ 5389

On this page

How the answer is calculated

We solve x2 = 5389. The resulting value is x = 73.4098086089.

Verification: 73.40980860892 ≈ 5389.

Simplified radical form

The square root of 5389 in simplified radical form is √5389.

There are no square factors that can be taken outside the radical, so √5389 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal735329
Upper or equal745476

Nearby square roots

NumberSquare root
√538673.3893725276
√538773.396185187
√538873.402997214
√538973.4098086089
√539073.4166193719
√539173.4234295031
√539273.4302390027

Number properties

Is 5389 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5389 is irrational because 5389 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 5389.