Infolity
  1. Home
  2. Calculators
  3. Square Root

What is the Square Root of 966?

The square root of 966 is 31.0805405358. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√966 = 31.0805405358
CalculatedNon-perfect squareIrrational
Exact form√966
Perfect squareNo
Number typeIrrational
Verification31.08054053582 ≈ 966

On this page

How the answer is calculated

We solve x2 = 966. The resulting value is x = 31.0805405358.

Verification: 31.08054053582 ≈ 966.

Simplified radical form

The square root of 966 in simplified radical form is √966.

There are no square factors that can be taken outside the radical, so √966 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal31961
Upper or equal321024

Nearby square roots

NumberSquare root
√96331.0322412984
√96431.0483493925
√96531.064449134
√96631.0805405358
√96731.0966236109
√96831.1126983722
√96931.1287648325

Number properties

Is 966 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√966 is irrational because 966 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 966.