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What is the Square Root of 2142?

The square root of 2142 is 46.2817458616. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√2142 = 46.2817458616
CalculatedNon-perfect squareIrrational
Exact form√2142
Perfect squareNo
Number typeIrrational
Verification46.28174586162 ≈ 2142

On this page

How the answer is calculated

We solve x2 = 2142. The resulting value is x = 46.2817458616.

Verification: 46.28174586162 ≈ 2142.

Simplified radical form

The square root of 2142 in simplified radical form is 3√238.

This is equivalent to √2142, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal462116
Upper or equal472209

Nearby square roots

NumberSquare root
√213946.2493243194
√214046.2601340249
√214146.270941205
√214246.2817458616
√214346.2925479964
√214446.3033476112
√214546.3141447076

Number properties

Is 2142 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√2142 is irrational because 2142 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 2142.