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What is the Square Root of 20525?

The square root of 20525 is 143.2654878189. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20525 = 143.2654878189
CalculatedNon-perfect squareIrrational
Exact form√20525
Perfect squareNo
Number typeIrrational
Verification143.26548781892 ≈ 20525

On this page

How the answer is calculated

We solve x2 = 20525. The resulting value is x = 143.2654878189.

Verification: 143.26548781892 ≈ 20525.

Simplified radical form

The square root of 20525 in simplified radical form is 5√821.

This is equivalent to √20525, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14320449
Upper or equal14420736

Nearby square roots

NumberSquare root
√20522143.2550173641
√20523143.2585076008
√20524143.2619977524
√20525143.2654878189
√20526143.2689778005
√20527143.272467697
√20528143.2759575086

Number properties

Is 20525 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20525 is irrational because 20525 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 20525.