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What is the Square Root of 783?

The square root of 783 is 27.9821371593. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√783 = 27.9821371593
CalculatedNon-perfect squareIrrational
Exact form√783
Perfect squareNo
Number typeIrrational
Verification27.98213715932 ≈ 783

On this page

How the answer is calculated

We solve x2 = 783. The resulting value is x = 27.9821371593.

Verification: 27.98213715932 ≈ 783.

Simplified radical form

The square root of 783 in simplified radical form is 3√87.

This is equivalent to √783, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal27729
Upper or equal28784

Nearby square roots

NumberSquare root
√78027.9284800875
√78127.946377225
√78227.9642629082
√78327.9821371593
√78428
√78528.0178514522
√78628.0356915378

Number properties

Is 783 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√783 is irrational because 783 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 783.