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What is the Square Root of 664?

The square root of 664 is 25.7681974535. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√664 = 25.7681974535
CalculatedNon-perfect squareIrrational
Exact form√664
Perfect squareNo
Number typeIrrational
Verification25.76819745352 ≈ 664

On this page

How the answer is calculated

We solve x2 = 664. The resulting value is x = 25.7681974535.

Verification: 25.76819745352 ≈ 664.

Simplified radical form

The square root of 664 in simplified radical form is 2√166.

This is equivalent to √664, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal25625
Upper or equal26676

Nearby square roots

NumberSquare root
√66125.7099202644
√66225.7293606605
√66325.7487863792
√66425.7681974535
√66525.7875939165
√66625.8069758011
√66725.8263431403

Number properties

Is 664 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√664 is irrational because 664 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 664.