What is the Square Root of 10742?

The square root of 10742 is 103.6436201606. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√10742 = 103.6436201606
CalculatedNon-perfect squareIrrational
Exact form√10742
Perfect squareNo
Number typeIrrational
Verification103.64362016062 ≈ 10742

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How the answer is calculated

We solve x2 = 10742. The resulting value is x = 103.6436201606.

Verification: 103.64362016062 ≈ 10742.

Simplified radical form

The square root of 10742 in simplified radical form is √10742.

There are no square factors that can be taken outside the radical, so √10742 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal10310609
Upper or equal10410816

Nearby square roots

NumberSquare root
√10739103.6291464792
√10740103.6339712643
√10741103.6387958247
√10742103.6436201606
√10743103.648444272
√10744103.6532681588
√10745103.6580918211

Number properties

Is 10742 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√10742 is irrational because 10742 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 10742.