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What is the Square Root of 667?

The square root of 667 is 25.8263431403. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√667 = 25.8263431403
CalculatedNon-perfect squareIrrational
Exact form√667
Perfect squareNo
Number typeIrrational
Verification25.82634314032 ≈ 667

On this page

How the answer is calculated

We solve x2 = 667. The resulting value is x = 25.8263431403.

Verification: 25.82634314032 ≈ 667.

Simplified radical form

The square root of 667 in simplified radical form is √667.

There are no square factors that can be taken outside the radical, so √667 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal25625
Upper or equal26676

Nearby square roots

NumberSquare root
√66425.7681974535
√66525.7875939165
√66625.8069758011
√66725.8263431403
√66825.8456959666
√66925.8650343128
√67025.8843582111

Number properties

Is 667 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√667 is irrational because 667 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 667.