What is the Square Root of 92?

The square root of 92 is 9.5916630466. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√92 = 9.5916630466
CalculatedNon-perfect squareIrrational
Exact form√92
Perfect squareNo
Number typeIrrational
Verification9.59166304662 ≈ 92

On this page

How the answer is calculated

We solve x2 = 92. The resulting value is x = 9.5916630466.

Verification: 9.59166304662 ≈ 92.

Simplified radical form

The square root of 92 in simplified radical form is 2√23.

This is equivalent to √92, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal981
Upper or equal10100

Nearby square roots

NumberSquare root
√899.4339811321
√909.4868329805
√919.5393920142
√929.5916630466
√939.643650761
√949.6953597148
√959.7467943448

Number properties

Is 92 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√92 is irrational because 92 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 92.