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What is the Square Root of 13772?

The square root of 13772 is 117.3541648174. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13772 = 117.3541648174
CalculatedNon-perfect squareIrrational
Exact form√13772
Perfect squareNo
Number typeIrrational
Verification117.35416481742 ≈ 13772

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How the answer is calculated

We solve x2 = 13772. The resulting value is x = 117.3541648174.

Verification: 117.35416481742 ≈ 13772.

Simplified radical form

The square root of 13772 in simplified radical form is 2√3443.

This is equivalent to √13772, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13769117.3413822997
√13770117.3456432936
√13771117.3499041329
√13772117.3541648174
√13773117.3584253473
√13774117.3626857225
√13775117.3669459431

Number properties

Is 13772 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13772 is irrational because 13772 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 13772.