Infolity
  1. Home
  2. Calculators
  3. Square Root

What is the Square Root of 6701?

The square root of 6701 is 81.859635963. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√6701 = 81.859635963
CalculatedNon-perfect squareIrrational
Exact form√6701
Perfect squareNo
Number typeIrrational
Verification81.8596359632 ≈ 6701

On this page

How the answer is calculated

We solve x2 = 6701. The resulting value is x = 81.859635963.

Verification: 81.8596359632 ≈ 6701.

Simplified radical form

The square root of 6701 in simplified radical form is √6701.

There are no square factors that can be taken outside the radical, so √6701 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal816561
Upper or equal826724

Nearby square roots

NumberSquare root
√669881.8413098624
√669981.8474190186
√670081.8535277187
√670181.859635963
√670281.8657437516
√670381.8718510845
√670481.8779579618

Number properties

Is 6701 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√6701 is irrational because 6701 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 6701.