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What is the Square Root of 13388?

The square root of 13388 is 115.706525313. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13388 = 115.706525313
CalculatedNon-perfect squareIrrational
Exact form√13388
Perfect squareNo
Number typeIrrational
Verification115.7065253132 ≈ 13388

On this page

How the answer is calculated

We solve x2 = 13388. The resulting value is x = 115.706525313.

Verification: 115.7065253132 ≈ 13388.

Simplified radical form

The square root of 13388 in simplified radical form is 2√3347.

This is equivalent to √13388, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13385115.6935607543
√13386115.6978824352
√13387115.7022039548
√13388115.706525313
√13389115.7108465097
√13390115.7151675451
√13391115.7194884192

Number properties

Is 13388 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13388 is irrational because 13388 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 13388.