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What is the Square Root of 6964?

The square root of 6964 is 83.4505841801. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√6964 = 83.4505841801
CalculatedNon-perfect squareIrrational
Exact form√6964
Perfect squareNo
Number typeIrrational
Verification83.45058418012 ≈ 6964

On this page

How the answer is calculated

We solve x2 = 6964. The resulting value is x = 83.4505841801.

Verification: 83.45058418012 ≈ 6964.

Simplified radical form

The square root of 6964 in simplified radical form is 2√1741.

This is equivalent to √6964, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal836889
Upper or equal847056

Nearby square roots

NumberSquare root
√696183.4326075345
√696283.43860018
√696383.4445923952
√696483.4505841801
√696583.4565755348
√696683.4625664595
√696783.4685569541

Number properties

Is 6964 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√6964 is irrational because 6964 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 6964.