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What is the Square Root of 1760?

The square root of 1760 is 41.9523539268. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1760 = 41.9523539268
CalculatedNon-perfect squareIrrational
Exact form√1760
Perfect squareNo
Number typeIrrational
Verification41.95235392682 ≈ 1760

On this page

How the answer is calculated

We solve x2 = 1760. The resulting value is x = 41.9523539268.

Verification: 41.95235392682 ≈ 1760.

Simplified radical form

The square root of 1760 in simplified radical form is 4√110.

This is equivalent to √1760, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal411681
Upper or equal421764

Nearby square roots

NumberSquare root
√175741.9165838303
√175841.9285105865
√175941.940433951
√176041.9523539268
√176141.9642705167
√176241.9761837236
√176341.9880935504

Number properties

Is 1760 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1760 is irrational because 1760 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 1760.