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What is the Square Root of 20640?

The square root of 20640 is 143.6662799685. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20640 = 143.6662799685
CalculatedNon-perfect squareIrrational
Exact form√20640
Perfect squareNo
Number typeIrrational
Verification143.66627996852 ≈ 20640

On this page

How the answer is calculated

We solve x2 = 20640. The resulting value is x = 143.6662799685.

Verification: 143.66627996852 ≈ 20640.

Simplified radical form

The square root of 20640 in simplified radical form is 4√1290.

This is equivalent to √20640, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14320449
Upper or equal14420736

Nearby square roots

NumberSquare root
√20637143.6558387258
√20638143.6593192243
√20639143.6627996386
√20640143.6662799685
√20641143.6697602142
√20642143.6732403755
√20643143.6767204525

Number properties

Is 20640 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20640 is irrational because 20640 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 20640.