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What is the Square Root of 23742?

The square root of 23742 is 154.0843924608. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√23742 = 154.0843924608
CalculatedNon-perfect squareIrrational
Exact form√23742
Perfect squareNo
Number typeIrrational
Verification154.08439246082 ≈ 23742

On this page

How the answer is calculated

We solve x2 = 23742. The resulting value is x = 154.0843924608.

Verification: 154.08439246082 ≈ 23742.

Simplified radical form

The square root of 23742 in simplified radical form is 3√2638.

This is equivalent to √23742, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal15423716
Upper or equal15524025

Nearby square roots

NumberSquare root
√23739154.0746572282
√23740154.0779023741
√23741154.0811474516
√23742154.0843924608
√23743154.0876374016
√23744154.0908822741
√23745154.0941270782

Number properties

Is 23742 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√23742 is irrational because 23742 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 23742.