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What is the Square Root of 7077?

The square root of 7077 is 84.1249071322. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√7077 = 84.1249071322
CalculatedNon-perfect squareIrrational
Exact form√7077
Perfect squareNo
Number typeIrrational
Verification84.12490713222 ≈ 7077

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How the answer is calculated

We solve x2 = 7077. The resulting value is x = 84.1249071322.

Verification: 84.12490713222 ≈ 7077.

Simplified radical form

The square root of 7077 in simplified radical form is √7077.

There are no square factors that can be taken outside the radical, so √7077 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal847056
Upper or equal857225

Nearby square roots

NumberSquare root
√707484.1070746133
√707584.1130192063
√707684.1189633793
√707784.1249071322
√707884.1308504652
√707984.1367933784
√708084.1427358719

Number properties

Is 7077 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√7077 is irrational because 7077 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 7077.