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What is the Square Root of 769?

The square root of 769 is 27.7308492477. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√769 = 27.7308492477
CalculatedNon-perfect squareIrrational
Exact form√769
Perfect squareNo
Number typeIrrational
Verification27.73084924772 ≈ 769

On this page

How the answer is calculated

We solve x2 = 769. The resulting value is x = 27.7308492477.

Verification: 27.73084924772 ≈ 769.

Simplified radical form

The square root of 769 in simplified radical form is √769.

There are no square factors that can be taken outside the radical, so √769 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal27729
Upper or equal28784

Nearby square roots

NumberSquare root
√76627.6767050062
√76727.6947648483
√76827.7128129211
√76927.7308492477
√77027.748873851
√77127.7668867538
√77227.7848879789

Number properties

Is 769 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√769 is irrational because 769 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 769.