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What is the Square Root of 20252?

The square root of 20252 is 142.3095218178. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20252 = 142.3095218178
CalculatedNon-perfect squareIrrational
Exact form√20252
Perfect squareNo
Number typeIrrational
Verification142.30952181782 ≈ 20252

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How the answer is calculated

We solve x2 = 20252. The resulting value is x = 142.3095218178.

Verification: 142.30952181782 ≈ 20252.

Simplified radical form

The square root of 20252 in simplified radical form is 2√5063.

This is equivalent to √20252, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20249142.2989810224
√20250142.3024947076
√20251142.306008306
√20252142.3095218178
√20253142.3130352427
√20254142.316548581
√20255142.3200618325

Number properties

Is 20252 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20252 is irrational because 20252 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 20252.