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What is the Square Root of 11920?

The square root of 11920 is 109.1787525116. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√11920 = 109.1787525116
CalculatedNon-perfect squareIrrational
Exact form√11920
Perfect squareNo
Number typeIrrational
Verification109.17875251162 ≈ 11920

On this page

How the answer is calculated

We solve x2 = 11920. The resulting value is x = 109.1787525116.

Verification: 109.17875251162 ≈ 11920.

Simplified radical form

The square root of 11920 in simplified radical form is 4√745.

This is equivalent to √11920, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal10911881
Upper or equal11012100

Nearby square roots

NumberSquare root
√11917109.1650127101
√11918109.1695928361
√11919109.1741727699
√11920109.1787525116
√11921109.1833320613
√11922109.1879114188
√11923109.1924905843

Number properties

Is 11920 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√11920 is irrational because 11920 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 11920.