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What is the Square Root of 6921?

The square root of 6921 is 83.1925477432. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√6921 = 83.1925477432
CalculatedNon-perfect squareIrrational
Exact form√6921
Perfect squareNo
Number typeIrrational
Verification83.19254774322 ≈ 6921

On this page

How the answer is calculated

We solve x2 = 6921. The resulting value is x = 83.1925477432.

Verification: 83.19254774322 ≈ 6921.

Simplified radical form

The square root of 6921 in simplified radical form is 3√769.

This is equivalent to √6921, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal836889
Upper or equal847056

Nearby square roots

NumberSquare root
√691883.1745153277
√691983.1805265672
√692083.1865373723
√692183.1925477432
√692283.1985576798
√692383.2045671823
√692483.2105762509

Number properties

Is 6921 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√6921 is irrational because 6921 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 6921.