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What is the Square Root of 20880?

The square root of 20880 is 144.4991349455. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20880 = 144.4991349455
CalculatedNon-perfect squareIrrational
Exact form√20880
Perfect squareNo
Number typeIrrational
Verification144.49913494552 ≈ 20880

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How the answer is calculated

We solve x2 = 20880. The resulting value is x = 144.4991349455.

Verification: 144.49913494552 ≈ 20880.

Simplified radical form

The square root of 20880 in simplified radical form is 12√145.

This is equivalent to √20880, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√20877144.4887538876
√20878144.4922143231
√20879144.4956746757
√20880144.4991349455
√20881144.5025951324
√20882144.5060552365
√20883144.5095152576

Number properties

Is 20880 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20880 is irrational because 20880 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 20880.