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What is the Square Root of 13769?

The square root of 13769 is 117.3413822997. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13769 = 117.3413822997
CalculatedNon-perfect squareIrrational
Exact form√13769
Perfect squareNo
Number typeIrrational
Verification117.34138229972 ≈ 13769

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How the answer is calculated

We solve x2 = 13769. The resulting value is x = 117.3413822997.

Verification: 117.34138229972 ≈ 13769.

Simplified radical form

The square root of 13769 in simplified radical form is 7√281.

This is equivalent to √13769, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13766117.3285983893
√13767117.3328598475
√13768117.337121151
√13769117.3413822997
√13770117.3456432936
√13771117.3499041329
√13772117.3541648174

Number properties

Is 13769 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13769 is irrational because 13769 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 13769.