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What is the Square Root of 16164?

The square root of 16164 is 127.1377206025. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16164 = 127.1377206025
CalculatedNon-perfect squareIrrational
Exact form√16164
Perfect squareNo
Number typeIrrational
Verification127.13772060252 ≈ 16164

On this page

How the answer is calculated

We solve x2 = 16164. The resulting value is x = 127.1377206025.

Verification: 127.13772060252 ≈ 16164.

Simplified radical form

The square root of 16164 in simplified radical form is 6√449.

This is equivalent to √16164, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12716129
Upper or equal12816384

Nearby square roots

NumberSquare root
√16161127.1259218256
√16162127.1298548729
√16163127.1337877985
√16164127.1377206025
√16165127.1416532848
√16166127.1455858455
√16167127.1495182846

Number properties

Is 16164 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16164 is irrational because 16164 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 16164.