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What is the Square Root of 21142?

The square root of 21142 is 145.4028885545. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21142 = 145.4028885545
CalculatedNon-perfect squareIrrational
Exact form√21142
Perfect squareNo
Number typeIrrational
Verification145.40288855452 ≈ 21142

On this page

How the answer is calculated

We solve x2 = 21142. The resulting value is x = 145.4028885545.

Verification: 145.40288855452 ≈ 21142.

Simplified radical form

The square root of 21142 in simplified radical form is 31√22.

This is equivalent to √21142, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21139145.3925720248
√21140145.3960109494
√21141145.3994497926
√21142145.4028885545
√21143145.4063272351
√21144145.4097658343
√21145145.4132043523

Number properties

Is 21142 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21142 is irrational because 21142 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 21142.