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What is the Square Root of 1664?

The square root of 1664 is 40.7921561087. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1664 = 40.7921561087
CalculatedNon-perfect squareIrrational
Exact form√1664
Perfect squareNo
Number typeIrrational
Verification40.79215610872 ≈ 1664

On this page

How the answer is calculated

We solve x2 = 1664. The resulting value is x = 40.7921561087.

Verification: 40.79215610872 ≈ 1664.

Simplified radical form

The square root of 1664 in simplified radical form is 8√26.

This is equivalent to √1664, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal401600
Upper or equal411681

Nearby square roots

NumberSquare root
√166140.7553677446
√166240.7676342213
√166340.7798970082
√166440.7921561087
√166540.8044115262
√166640.8166632639
√166740.8289113252

Number properties

Is 1664 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1664 is irrational because 1664 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 1664.