What is the Square Root of 15149?

The square root of 15149 is 123.0812739616. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√15149 = 123.0812739616
CalculatedNon-perfect squareIrrational
Exact form√15149
Perfect squareNo
Number typeIrrational
Verification123.08127396162 ≈ 15149

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How the answer is calculated

We solve x2 = 15149. The resulting value is x = 123.0812739616.

Verification: 123.08127396162 ≈ 15149.

Simplified radical form

The square root of 15149 in simplified radical form is √15149.

There are no square factors that can be taken outside the radical, so √15149 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12315129
Upper or equal12415376

Nearby square roots

NumberSquare root
√15146123.069086289
√15147123.0731489806
√15148123.0772115381
√15149123.0812739616
√15150123.0853362509
√15151123.0893984062
√15152123.0934604274

Number properties

Is 15149 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√15149 is irrational because 15149 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 15149.