What is the Square Root of 15007?

The square root of 15007 is 122.5030611862. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√15007 = 122.5030611862
CalculatedNon-perfect squareIrrational
Exact form√15007
Perfect squareNo
Number typeIrrational
Verification122.50306118622 ≈ 15007

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How the answer is calculated

We solve x2 = 15007. The resulting value is x = 122.5030611862.

Verification: 122.50306118622 ≈ 15007.

Simplified radical form

The square root of 15007 in simplified radical form is √15007.

There are no square factors that can be taken outside the radical, so √15007 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12214884
Upper or equal12315129

Nearby square roots

NumberSquare root
√15004122.4908159823
√15005122.4948978529
√15006122.4989795876
√15007122.5030611862
√15008122.5071426489
√15009122.5112239756
√15010122.5153051663

Number properties

Is 15007 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√15007 is irrational because 15007 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 15007.