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What is the Square Root of 5355?

The square root of 5355 is 73.1778655059. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5355 = 73.1778655059
CalculatedNon-perfect squareIrrational
Exact form√5355
Perfect squareNo
Number typeIrrational
Verification73.17786550592 ≈ 5355

On this page

How the answer is calculated

We solve x2 = 5355. The resulting value is x = 73.1778655059.

Verification: 73.17786550592 ≈ 5355.

Simplified radical form

The square root of 5355 in simplified radical form is 3√595.

This is equivalent to √5355, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal735329
Upper or equal745476

Nearby square roots

NumberSquare root
√535273.1573646327
√535373.1641988954
√535473.1710325197
√535573.1778655059
√535673.1846978541
√535773.1915295646
√535873.1983606374

Number properties

Is 5355 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5355 is irrational because 5355 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 5355.