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What is the Square Root of 7008?

The square root of 7008 is 83.7137981458. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√7008 = 83.7137981458
CalculatedNon-perfect squareIrrational
Exact form√7008
Perfect squareNo
Number typeIrrational
Verification83.71379814582 ≈ 7008

On this page

How the answer is calculated

We solve x2 = 7008. The resulting value is x = 83.7137981458.

Verification: 83.71379814582 ≈ 7008.

Simplified radical form

The square root of 7008 in simplified radical form is 4√438.

This is equivalent to √7008, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal836889
Upper or equal847056

Nearby square roots

NumberSquare root
√700583.6958780347
√700683.7018518314
√700783.7078252017
√700883.7137981458
√700983.7197706638
√701083.7257427557
√701183.7317144217

Number properties

Is 7008 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√7008 is irrational because 7008 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 7008.