What is the Square Root of 15025?

The square root of 15025 is 122.5765067213. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√15025 = 122.5765067213
CalculatedNon-perfect squareIrrational
Exact form√15025
Perfect squareNo
Number typeIrrational
Verification122.57650672132 ≈ 15025

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How the answer is calculated

We solve x2 = 15025. The resulting value is x = 122.5765067213.

Verification: 122.57650672132 ≈ 15025.

Simplified radical form

The square root of 15025 in simplified radical form is 5√601.

This is equivalent to √15025, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12214884
Upper or equal12315129

Nearby square roots

NumberSquare root
√15022122.5642688552
√15023122.5683482796
√15024122.5724275684
√15025122.5765067213
√15026122.5805857385
√15027122.58466462
√15028122.5887433658

Number properties

Is 15025 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√15025 is irrational because 15025 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 15025.