What is the Square Root of 6998?

The square root of 6998 is 83.6540495135. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√6998 = 83.6540495135
CalculatedNon-perfect squareIrrational
Exact form√6998
Perfect squareNo
Number typeIrrational
Verification83.65404951352 ≈ 6998

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How the answer is calculated

We solve x2 = 6998. The resulting value is x = 83.6540495135.

Verification: 83.65404951352 ≈ 6998.

Simplified radical form

The square root of 6998 in simplified radical form is √6998.

There are no square factors that can be taken outside the radical, so √6998 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal836889
Upper or equal847056

Nearby square roots

NumberSquare root
√699583.6361166004
√699683.6420946653
√699783.648072303
√699883.6540495135
√699983.6600262969
√700083.6660026534
√700183.671978583

Number properties

Is 6998 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√6998 is irrational because 6998 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 6998.