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What is the Square Root of 20340?

The square root of 20340 is 142.6183718881. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20340 = 142.6183718881
CalculatedNon-perfect squareIrrational
Exact form√20340
Perfect squareNo
Number typeIrrational
Verification142.61837188812 ≈ 20340

On this page

How the answer is calculated

We solve x2 = 20340. The resulting value is x = 142.6183718881.

Verification: 142.61837188812 ≈ 20340.

Simplified radical form

The square root of 20340 in simplified radical form is 6√565.

This is equivalent to √20340, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20337142.6078539212
√20338142.6113599963
√20339142.6148659853
√20340142.6183718881
√20341142.6218777046
√20342142.6253834351
√20343142.6288890793

Number properties

Is 20340 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20340 is irrational because 20340 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 20340.