What is the Square Root of 697?

The square root of 697 is 26.4007575649. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√697 = 26.4007575649
CalculatedNon-perfect squareIrrational
Exact form√697
Perfect squareNo
Number typeIrrational
Verification26.40075756492 ≈ 697

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How the answer is calculated

We solve x2 = 697. The resulting value is x = 26.4007575649.

Verification: 26.40075756492 ≈ 697.

Simplified radical form

The square root of 697 in simplified radical form is √697.

There are no square factors that can be taken outside the radical, so √697 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal26676
Upper or equal27729

Nearby square roots

NumberSquare root
√69426.3438797446
√69526.3628526529
√69626.3818119165
√69726.4007575649
√69826.4196896272
√69926.4386081328
√70026.4575131106

Number properties

Is 697 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√697 is irrational because 697 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 697.