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What is the Square Root of 20784?

The square root of 20784 is 144.1665703275. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20784 = 144.1665703275
CalculatedNon-perfect squareIrrational
Exact form√20784
Perfect squareNo
Number typeIrrational
Verification144.16657032752 ≈ 20784

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How the answer is calculated

We solve x2 = 20784. The resulting value is x = 144.1665703275.

Verification: 144.16657032752 ≈ 20784.

Simplified radical form

The square root of 20784 in simplified radical form is 4√1299.

This is equivalent to √20784, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√20781144.1561653208
√20782144.1596337398
√20783144.1631020754
√20784144.1665703275
√20785144.1700384962
√20786144.1735065815
√20787144.1769745833

Number properties

Is 20784 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20784 is irrational because 20784 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 20784.