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What is the Square Root of 6946?

The square root of 6946 is 83.3426661441. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√6946 = 83.3426661441
CalculatedNon-perfect squareIrrational
Exact form√6946
Perfect squareNo
Number typeIrrational
Verification83.34266614412 ≈ 6946

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How the answer is calculated

We solve x2 = 6946. The resulting value is x = 83.3426661441.

Verification: 83.34266614412 ≈ 6946.

Simplified radical form

The square root of 6946 in simplified radical form is √6946.

There are no square factors that can be taken outside the radical, so √6946 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal836889
Upper or equal847056

Nearby square roots

NumberSquare root
√694383.324666216
√694483.330666624
√694583.3366666
√694683.3426661441
√694783.3486652563
√694883.3546639367
√694983.3606621855

Number properties

Is 6946 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√6946 is irrational because 6946 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 6946.