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What is the Square Root of 15003?

The square root of 15003 is 122.4867339756. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√15003 = 122.4867339756
CalculatedNon-perfect squareIrrational
Exact form√15003
Perfect squareNo
Number typeIrrational
Verification122.48673397562 ≈ 15003

On this page

How the answer is calculated

We solve x2 = 15003. The resulting value is x = 122.4867339756.

Verification: 122.48673397562 ≈ 15003.

Simplified radical form

The square root of 15003 in simplified radical form is 3√1667.

This is equivalent to √15003, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12214884
Upper or equal12315129

Nearby square roots

NumberSquare root
√15000122.4744871392
√15001122.478569554
√15002122.4826518328
√15003122.4867339756
√15004122.4908159823
√15005122.4948978529
√15006122.4989795876

Number properties

Is 15003 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√15003 is irrational because 15003 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 15003.