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What is the Square Root of 6984?

The square root of 6984 is 83.5703296631. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√6984 = 83.5703296631
CalculatedNon-perfect squareIrrational
Exact form√6984
Perfect squareNo
Number typeIrrational
Verification83.57032966312 ≈ 6984

On this page

How the answer is calculated

We solve x2 = 6984. The resulting value is x = 83.5703296631.

Verification: 83.57032966312 ≈ 6984.

Simplified radical form

The square root of 6984 in simplified radical form is 6√194.

This is equivalent to √6984, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal836889
Upper or equal847056

Nearby square roots

NumberSquare root
√698183.5523787812
√698283.558362837
√698383.5643464643
√698483.5703296631
√698583.5763124336
√698683.5822947759
√698783.58827669

Number properties

Is 6984 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√6984 is irrational because 6984 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 6984.