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What is the Square Root of 13728?

The square root of 13728 is 117.166548127. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13728 = 117.166548127
CalculatedNon-perfect squareIrrational
Exact form√13728
Perfect squareNo
Number typeIrrational
Verification117.1665481272 ≈ 13728

On this page

How the answer is calculated

We solve x2 = 13728. The resulting value is x = 117.166548127.

Verification: 117.1665481272 ≈ 13728.

Simplified radical form

The square root of 13728 in simplified radical form is 4√858.

This is equivalent to √13728, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13725117.1537451386
√13726117.1580129569
√13727117.1622806197
√13728117.166548127
√13729117.1708154789
√13730117.1750826755
√13731117.1793497166

Number properties

Is 13728 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13728 is irrational because 13728 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 13728.