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What is the Square Root of 20875?

The square root of 20875 is 144.481832768. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20875 = 144.481832768
CalculatedNon-perfect squareIrrational
Exact form√20875
Perfect squareNo
Number typeIrrational
Verification144.4818327682 ≈ 20875

On this page

How the answer is calculated

We solve x2 = 20875. The resulting value is x = 144.481832768.

Verification: 144.4818327682 ≈ 20875.

Simplified radical form

The square root of 20875 in simplified radical form is 5√835.

This is equivalent to √20875, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√20872144.4714504669
√20873144.4749113168
√20874144.4783720839
√20875144.481832768
√20876144.4852933693
√20877144.4887538876
√20878144.4922143231

Number properties

Is 20875 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20875 is irrational because 20875 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 20875.