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What is the Square Root of 6909?

The square root of 6909 is 83.1203946093. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√6909 = 83.1203946093
CalculatedNon-perfect squareIrrational
Exact form√6909
Perfect squareNo
Number typeIrrational
Verification83.12039460932 ≈ 6909

On this page

How the answer is calculated

We solve x2 = 6909. The resulting value is x = 83.1203946093.

Verification: 83.12039460932 ≈ 6909.

Simplified radical form

The square root of 6909 in simplified radical form is 7√141.

This is equivalent to √6909, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal836889
Upper or equal847056

Nearby square roots

NumberSquare root
√690683.1023465373
√690783.1083629968
√690883.1143790207
√690983.1203946093
√691083.1264097625
√691183.1324244805
√691283.1384387633

Number properties

Is 6909 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√6909 is irrational because 6909 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 6909.