What is the Square Root of 920?

The square root of 920 is 30.3315017762. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√920 = 30.3315017762
CalculatedNon-perfect squareIrrational
Exact form√920
Perfect squareNo
Number typeIrrational
Verification30.33150177622 ≈ 920

On this page

How the answer is calculated

We solve x2 = 920. The resulting value is x = 30.3315017762.

Verification: 30.33150177622 ≈ 920.

Simplified radical form

The square root of 920 in simplified radical form is 2√230.

This is equivalent to √920, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal30900
Upper or equal31961

Nearby square roots

NumberSquare root
√91730.2820078595
√91830.2985148151
√91930.3150127824
√92030.3315017762
√92130.347981811
√92230.3644529014
√92330.3809150619

Number properties

Is 920 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√920 is irrational because 920 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 920.