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What is the Square Root of 6948?

The square root of 6948 is 83.3546639367. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√6948 = 83.3546639367
CalculatedNon-perfect squareIrrational
Exact form√6948
Perfect squareNo
Number typeIrrational
Verification83.35466393672 ≈ 6948

On this page

How the answer is calculated

We solve x2 = 6948. The resulting value is x = 83.3546639367.

Verification: 83.35466393672 ≈ 6948.

Simplified radical form

The square root of 6948 in simplified radical form is 6√193.

This is equivalent to √6948, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal836889
Upper or equal847056

Nearby square roots

NumberSquare root
√694583.3366666
√694683.3426661441
√694783.3486652563
√694883.3546639367
√694983.3606621855
√695083.3666600027
√695183.3726573884

Number properties

Is 6948 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√6948 is irrational because 6948 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 6948.