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What is the Square Root of 20080?

The square root of 20080 is 141.7039166713. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20080 = 141.7039166713
CalculatedNon-perfect squareIrrational
Exact form√20080
Perfect squareNo
Number typeIrrational
Verification141.70391667132 ≈ 20080

On this page

How the answer is calculated

We solve x2 = 20080. The resulting value is x = 141.7039166713.

Verification: 141.70391667132 ≈ 20080.

Simplified radical form

The square root of 20080 in simplified radical form is 4√1255.

This is equivalent to √20080, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14119881
Upper or equal14220164

Nearby square roots

NumberSquare root
√20077141.693330824
√20078141.6968595277
√20079141.7003881434
√20080141.7039166713
√20081141.7074451114
√20082141.7109734636
√20083141.7145017279

Number properties

Is 20080 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20080 is irrational because 20080 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 20080.