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What is the Square Root of 7007?

The square root of 7007 is 83.7078252017. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√7007 = 83.7078252017
CalculatedNon-perfect squareIrrational
Exact form√7007
Perfect squareNo
Number typeIrrational
Verification83.70782520172 ≈ 7007

On this page

How the answer is calculated

We solve x2 = 7007. The resulting value is x = 83.7078252017.

Verification: 83.70782520172 ≈ 7007.

Simplified radical form

The square root of 7007 in simplified radical form is 7√143.

This is equivalent to √7007, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal836889
Upper or equal847056

Nearby square roots

NumberSquare root
√700483.6899038116
√700583.6958780347
√700683.7018518314
√700783.7078252017
√700883.7137981458
√700983.7197706638
√701083.7257427557

Number properties

Is 7007 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√7007 is irrational because 7007 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 7007.