What is the Square Root of 660?

The square root of 660 is 25.6904651573. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√660 = 25.6904651573
CalculatedNon-perfect squareIrrational
Exact form√660
Perfect squareNo
Number typeIrrational
Verification25.69046515732 ≈ 660

On this page

How the answer is calculated

We solve x2 = 660. The resulting value is x = 25.6904651573.

Verification: 25.69046515732 ≈ 660.

Simplified radical form

The square root of 660 in simplified radical form is 2√165.

This is equivalent to √660, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal25625
Upper or equal26676

Nearby square roots

NumberSquare root
√65725.632011236
√65825.6515106768
√65925.670995306
√66025.6904651573
√66125.7099202644
√66225.7293606605
√66325.7487863792

Number properties

Is 660 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√660 is irrational because 660 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 660.