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What is the Square Root of 20248?

The square root of 20248 is 142.2954672504. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20248 = 142.2954672504
CalculatedNon-perfect squareIrrational
Exact form√20248
Perfect squareNo
Number typeIrrational
Verification142.29546725042 ≈ 20248

On this page

How the answer is calculated

We solve x2 = 20248. The resulting value is x = 142.2954672504.

Verification: 142.29546725042 ≈ 20248.

Simplified radical form

The square root of 20248 in simplified radical form is 2√5062.

This is equivalent to √20248, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20245142.2849254138
√20246142.2884394461
√20247142.2919533916
√20248142.2954672504
√20249142.2989810224
√20250142.3024947076
√20251142.306008306

Number properties

Is 20248 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20248 is irrational because 20248 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 20248.