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What is the Square Root of 7742?

The square root of 7742 is 87.9886356298. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√7742 = 87.9886356298
CalculatedNon-perfect squareIrrational
Exact form√7742
Perfect squareNo
Number typeIrrational
Verification87.98863562982 ≈ 7742

On this page

How the answer is calculated

We solve x2 = 7742. The resulting value is x = 87.9886356298.

Verification: 87.98863562982 ≈ 7742.

Simplified radical form

The square root of 7742 in simplified radical form is 7√158.

This is equivalent to √7742, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal877569
Upper or equal887744

Nearby square roots

NumberSquare root
√773987.9715863219
√774087.9772697917
√774187.9829528943
√774287.9886356298
√774387.9943179984
√774488
√774588.0056816348

Number properties

Is 7742 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√7742 is irrational because 7742 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 7742.