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What is the Square Root of 13768?

The square root of 13768 is 117.337121151. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13768 = 117.337121151
CalculatedNon-perfect squareIrrational
Exact form√13768
Perfect squareNo
Number typeIrrational
Verification117.3371211512 ≈ 13768

On this page

How the answer is calculated

We solve x2 = 13768. The resulting value is x = 117.337121151.

Verification: 117.3371211512 ≈ 13768.

Simplified radical form

The square root of 13768 in simplified radical form is 2√3442.

This is equivalent to √13768, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13765117.3243367763
√13766117.3285983893
√13767117.3328598475
√13768117.337121151
√13769117.3413822997
√13770117.3456432936
√13771117.3499041329

Number properties

Is 13768 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13768 is irrational because 13768 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 13768.