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What is the Square Root of 7667?

The square root of 7667 is 87.5614070239. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√7667 = 87.5614070239
CalculatedNon-perfect squareIrrational
Exact form√7667
Perfect squareNo
Number typeIrrational
Verification87.56140702392 ≈ 7667

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How the answer is calculated

We solve x2 = 7667. The resulting value is x = 87.5614070239.

Verification: 87.56140702392 ≈ 7667.

Simplified radical form

The square root of 7667 in simplified radical form is √7667.

There are no square factors that can be taken outside the radical, so √7667 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal877569
Upper or equal887744

Nearby square roots

NumberSquare root
√766487.544274513
√766587.5499857224
√766687.5556965594
√766787.5614070239
√766887.567117116
√766987.5728268357
√767087.5785361832

Number properties

Is 7667 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√7667 is irrational because 7667 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 7667.