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What is the Square Root of 13164?

The square root of 13164 is 114.7344760741. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13164 = 114.7344760741
CalculatedNon-perfect squareIrrational
Exact form√13164
Perfect squareNo
Number typeIrrational
Verification114.73447607412 ≈ 13164

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How the answer is calculated

We solve x2 = 13164. The resulting value is x = 114.7344760741.

Verification: 114.73447607412 ≈ 13164.

Simplified radical form

The square root of 13164 in simplified radical form is 2√3291.

This is equivalent to √13164, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11412996
Upper or equal11513225

Nearby square roots

NumberSquare root
√13161114.7214016651
√13162114.725759967
√13163114.7301181033
√13164114.7344760741
√13165114.7388338794
√13166114.7431915191
√13167114.7475489934

Number properties

Is 13164 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13164 is irrational because 13164 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 13164.