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What is the Square Root of 14742?

The square root of 14742 is 121.4166380691. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√14742 = 121.4166380691
CalculatedNon-perfect squareIrrational
Exact form√14742
Perfect squareNo
Number typeIrrational
Verification121.41663806912 ≈ 14742

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How the answer is calculated

We solve x2 = 14742. The resulting value is x = 121.4166380691.

Verification: 121.41663806912 ≈ 14742.

Simplified radical form

The square root of 14742 in simplified radical form is 9√182.

This is equivalent to √14742, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12114641
Upper or equal12214884

Nearby square roots

NumberSquare root
√14739121.4042832852
√14740121.4084016862
√14741121.4125199475
√14742121.4166380691
√14743121.420756051
√14744121.4248738933
√14745121.4289915959

Number properties

Is 14742 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√14742 is irrational because 14742 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 14742.