What is the Square Root of 14724?

The square root of 14724 is 121.3424904969. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√14724 = 121.3424904969
CalculatedNon-perfect squareIrrational
Exact form√14724
Perfect squareNo
Number typeIrrational
Verification121.34249049692 ≈ 14724

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How the answer is calculated

We solve x2 = 14724. The resulting value is x = 121.3424904969.

Verification: 121.34249049692 ≈ 14724.

Simplified radical form

The square root of 14724 in simplified radical form is 6√409.

This is equivalent to √14724, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12114641
Upper or equal12214884

Nearby square roots

NumberSquare root
√14721121.3301281628
√14722121.3342490808
√14723121.3383698588
√14724121.3424904969
√14725121.3466109951
√14726121.3507313534
√14727121.3548515717

Number properties

Is 14724 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√14724 is irrational because 14724 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 14724.