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What is the Square Root of 7000?

The square root of 7000 is 83.6660026534. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√7000 = 83.6660026534
CalculatedNon-perfect squareIrrational
Exact form√7000
Perfect squareNo
Number typeIrrational
Verification83.66600265342 ≈ 7000

On this page

How the answer is calculated

We solve x2 = 7000. The resulting value is x = 83.6660026534.

Verification: 83.66600265342 ≈ 7000.

Simplified radical form

The square root of 7000 in simplified radical form is 10√70.

This is equivalent to √7000, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal836889
Upper or equal847056

Nearby square roots

NumberSquare root
√699783.648072303
√699883.6540495135
√699983.6600262969
√700083.6660026534
√700183.671978583
√700283.6779540859
√700383.6839291621

Number properties

Is 7000 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√7000 is irrational because 7000 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 7000.