What is the Square Root of 760?

The square root of 760 is 27.5680975042. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√760 = 27.5680975042
CalculatedNon-perfect squareIrrational
Exact form√760
Perfect squareNo
Number typeIrrational
Verification27.56809750422 ≈ 760

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How the answer is calculated

We solve x2 = 760. The resulting value is x = 27.5680975042.

Verification: 27.56809750422 ≈ 760.

Simplified radical form

The square root of 760 in simplified radical form is 2√190.

This is equivalent to √760, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal27729
Upper or equal28784

Nearby square roots

NumberSquare root
√75727.5136329844
√75827.5317997959
√75927.5499546279
√76027.5680975042
√76127.5862284483
√76227.6043474837
√76327.6224546339

Number properties

Is 760 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√760 is irrational because 760 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 760.