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What is the Square Root of 6008?

The square root of 6008 is 77.5112895003. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√6008 = 77.5112895003
CalculatedNon-perfect squareIrrational
Exact form√6008
Perfect squareNo
Number typeIrrational
Verification77.51128950032 ≈ 6008

On this page

How the answer is calculated

We solve x2 = 6008. The resulting value is x = 77.5112895003.

Verification: 77.51128950032 ≈ 6008.

Simplified radical form

The square root of 6008 in simplified radical form is 2√1502.

This is equivalent to √6008, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal775929
Upper or equal786084

Nearby square roots

NumberSquare root
√600577.4919350642
√600677.49838708
√600777.5048385586
√600877.5112895003
√600977.5177399051
√601077.5241897733
√601177.5306391048

Number properties

Is 6008 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√6008 is irrational because 6008 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 6008.