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What is the Square Root of 20852?

The square root of 20852 is 144.4022160495. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20852 = 144.4022160495
CalculatedNon-perfect squareIrrational
Exact form√20852
Perfect squareNo
Number typeIrrational
Verification144.40221604952 ≈ 20852

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How the answer is calculated

We solve x2 = 20852. The resulting value is x = 144.4022160495.

Verification: 144.40221604952 ≈ 20852.

Simplified radical form

The square root of 20852 in simplified radical form is 2√5213.

This is equivalent to √20852, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√20849144.3918280236
√20850144.3952907819
√20851144.3987534572
√20852144.4022160495
√20853144.4056785587
√20854144.4091409849
√20855144.4126033281

Number properties

Is 20852 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20852 is irrational because 20852 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 20852.