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What is the Square Root of 661?

The square root of 661 is 25.7099202644. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√661 = 25.7099202644
CalculatedNon-perfect squareIrrational
Exact form√661
Perfect squareNo
Number typeIrrational
Verification25.70992026442 ≈ 661

On this page

How the answer is calculated

We solve x2 = 661. The resulting value is x = 25.7099202644.

Verification: 25.70992026442 ≈ 661.

Simplified radical form

The square root of 661 in simplified radical form is √661.

There are no square factors that can be taken outside the radical, so √661 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal25625
Upper or equal26676

Nearby square roots

NumberSquare root
√65825.6515106768
√65925.670995306
√66025.6904651573
√66125.7099202644
√66225.7293606605
√66325.7487863792
√66425.7681974535

Number properties

Is 661 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√661 is irrational because 661 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 661.