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What is the Square Root of 13380?

The square root of 13380 is 115.6719499274. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13380 = 115.6719499274
CalculatedNon-perfect squareIrrational
Exact form√13380
Perfect squareNo
Number typeIrrational
Verification115.67194992742 ≈ 13380

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How the answer is calculated

We solve x2 = 13380. The resulting value is x = 115.6719499274.

Verification: 115.67194992742 ≈ 13380.

Simplified radical form

The square root of 13380 in simplified radical form is 2√3345.

This is equivalent to √13380, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13377115.658981493
√13378115.663304466
√13379115.6676272775
√13380115.6719499274
√13381115.6762724157
√13382115.6805947426
√13383115.684916908

Number properties

Is 13380 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13380 is irrational because 13380 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 13380.