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What is the Square Root of 5388?

The square root of 5388 is 73.402997214. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5388 = 73.402997214
CalculatedNon-perfect squareIrrational
Exact form√5388
Perfect squareNo
Number typeIrrational
Verification73.4029972142 ≈ 5388

On this page

How the answer is calculated

We solve x2 = 5388. The resulting value is x = 73.402997214.

Verification: 73.4029972142 ≈ 5388.

Simplified radical form

The square root of 5388 in simplified radical form is 2√1347.

This is equivalent to √5388, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal735329
Upper or equal745476

Nearby square roots

NumberSquare root
√538573.3825592358
√538673.3893725276
√538773.396185187
√538873.402997214
√538973.4098086089
√539073.4166193719
√539173.4234295031

Number properties

Is 5388 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5388 is irrational because 5388 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 5388.