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What is the Square Root of 771?

The square root of 771 is 27.7668867538. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√771 = 27.7668867538
CalculatedNon-perfect squareIrrational
Exact form√771
Perfect squareNo
Number typeIrrational
Verification27.76688675382 ≈ 771

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How the answer is calculated

We solve x2 = 771. The resulting value is x = 27.7668867538.

Verification: 27.76688675382 ≈ 771.

Simplified radical form

The square root of 771 in simplified radical form is √771.

There are no square factors that can be taken outside the radical, so √771 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal27729
Upper or equal28784

Nearby square roots

NumberSquare root
√76827.7128129211
√76927.7308492477
√77027.748873851
√77127.7668867538
√77227.7848879789
√77327.8028775489
√77427.8208554865

Number properties

Is 771 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√771 is irrational because 771 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 771.