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What is the Square Root of 20825?

The square root of 20825 is 144.3086968966. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20825 = 144.3086968966
CalculatedNon-perfect squareIrrational
Exact form√20825
Perfect squareNo
Number typeIrrational
Verification144.30869689662 ≈ 20825

On this page

How the answer is calculated

We solve x2 = 20825. The resulting value is x = 144.3086968966.

Verification: 144.30869689662 ≈ 20825.

Simplified radical form

The square root of 20825 in simplified radical form is 35√17.

This is equivalent to √20825, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√20822144.2983021383
√20823144.3017671409
√20824144.3052320604
√20825144.3086968966
√20826144.3121616497
√20827144.3156263195
√20828144.3190909062

Number properties

Is 20825 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20825 is irrational because 20825 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 20825.