What is the Square Root of 15066?

The square root of 15066 is 122.7436352729. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√15066 = 122.7436352729
CalculatedNon-perfect squareIrrational
Exact form√15066
Perfect squareNo
Number typeIrrational
Verification122.74363527292 ≈ 15066

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How the answer is calculated

We solve x2 = 15066. The resulting value is x = 122.7436352729.

Verification: 122.74363527292 ≈ 15066.

Simplified radical form

The square root of 15066 in simplified radical form is 9√186.

This is equivalent to √15066, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12214884
Upper or equal12315129

Nearby square roots

NumberSquare root
√15063122.7314140715
√15064122.7354879405
√15065122.7395616743
√15066122.7436352729
√15067122.7477087363
√15068122.7517820645
√15069122.7558552575

Number properties

Is 15066 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√15066 is irrational because 15066 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 15066.