What is the Square Root of 1120?

The square root of 1120 is 33.4664010614. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1120 = 33.4664010614
CalculatedNon-perfect squareIrrational
Exact form√1120
Perfect squareNo
Number typeIrrational
Verification33.46640106142 ≈ 1120

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How the answer is calculated

We solve x2 = 1120. The resulting value is x = 33.4664010614.

Verification: 33.46640106142 ≈ 1120.

Simplified radical form

The square root of 1120 in simplified radical form is 4√70.

This is equivalent to √1120, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal331089
Upper or equal341156

Nearby square roots

NumberSquare root
√111733.4215499341
√111833.4365069946
√111933.4514573674
√112033.4664010614
√112133.4813380856
√112233.4962684489
√112333.5111921602

Number properties

Is 1120 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1120 is irrational because 1120 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 1120.