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What is the Square Root of 7004?

The square root of 7004 is 83.6899038116. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√7004 = 83.6899038116
CalculatedNon-perfect squareIrrational
Exact form√7004
Perfect squareNo
Number typeIrrational
Verification83.68990381162 ≈ 7004

On this page

How the answer is calculated

We solve x2 = 7004. The resulting value is x = 83.6899038116.

Verification: 83.68990381162 ≈ 7004.

Simplified radical form

The square root of 7004 in simplified radical form is 2√1751.

This is equivalent to √7004, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal836889
Upper or equal847056

Nearby square roots

NumberSquare root
√700183.671978583
√700283.6779540859
√700383.6839291621
√700483.6899038116
√700583.6958780347
√700683.7018518314
√700783.7078252017

Number properties

Is 7004 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√7004 is irrational because 7004 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 7004.