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What is the Square Root of 6002?

The square root of 6002 is 77.472575793. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√6002 = 77.472575793
CalculatedNon-perfect squareIrrational
Exact form√6002
Perfect squareNo
Number typeIrrational
Verification77.4725757932 ≈ 6002

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How the answer is calculated

We solve x2 = 6002. The resulting value is x = 77.472575793.

Verification: 77.4725757932 ≈ 6002.

Simplified radical form

The square root of 6002 in simplified radical form is √6002.

There are no square factors that can be taken outside the radical, so √6002 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal775929
Upper or equal786084

Nearby square roots

NumberSquare root
√599977.4532116829
√600077.4596669241
√600177.4661216275
√600277.472575793
√600377.4790294209
√600477.4854825112
√600577.4919350642

Number properties

Is 6002 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√6002 is irrational because 6002 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 6002.