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What is the Square Root of 6700?

The square root of 6700 is 81.8535277187. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√6700 = 81.8535277187
CalculatedNon-perfect squareIrrational
Exact form√6700
Perfect squareNo
Number typeIrrational
Verification81.85352771872 ≈ 6700

On this page

How the answer is calculated

We solve x2 = 6700. The resulting value is x = 81.8535277187.

Verification: 81.85352771872 ≈ 6700.

Simplified radical form

The square root of 6700 in simplified radical form is 10√67.

This is equivalent to √6700, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal816561
Upper or equal826724

Nearby square roots

NumberSquare root
√669781.8352002503
√669881.8413098624
√669981.8474190186
√670081.8535277187
√670181.859635963
√670281.8657437516
√670381.8718510845

Number properties

Is 6700 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√6700 is irrational because 6700 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 6700.