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What is the Square Root of 20172?

The square root of 20172 is 142.0281662206. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20172 = 142.0281662206
CalculatedNon-perfect squareIrrational
Exact form√20172
Perfect squareNo
Number typeIrrational
Verification142.02816622062 ≈ 20172

On this page

How the answer is calculated

We solve x2 = 20172. The resulting value is x = 142.0281662206.

Verification: 142.02816622062 ≈ 20172.

Simplified radical form

The square root of 20172 in simplified radical form is 82√3.

This is equivalent to √20172, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20169142.0176045425
√20170142.0211251892
√20171142.0246457485
√20172142.0281662206
√20173142.0316866055
√20174142.0352069031
√20175142.0387271134

Number properties

Is 20172 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20172 is irrational because 20172 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 20172.