What is the Square Root of 14764?

The square root of 14764 is 121.5072014327. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√14764 = 121.5072014327
CalculatedNon-perfect squareIrrational
Exact form√14764
Perfect squareNo
Number typeIrrational
Verification121.50720143272 ≈ 14764

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How the answer is calculated

We solve x2 = 14764. The resulting value is x = 121.5072014327.

Verification: 121.50720143272 ≈ 14764.

Simplified radical form

The square root of 14764 in simplified radical form is 2√3691.

This is equivalent to √14764, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12114641
Upper or equal12214884

Nearby square roots

NumberSquare root
√14761121.4948558582
√14762121.4989711891
√14763121.5030863806
√14764121.5072014327
√14765121.5113163454
√14766121.5154311189
√14767121.5195457529

Number properties

Is 14764 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√14764 is irrational because 14764 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 14764.