What is the Square Root of 18742?

The square root of 18742 is 136.90142439. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√18742 = 136.90142439
CalculatedNon-perfect squareIrrational
Exact form√18742
Perfect squareNo
Number typeIrrational
Verification136.901424392 ≈ 18742

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How the answer is calculated

We solve x2 = 18742. The resulting value is x = 136.90142439.

Verification: 136.901424392 ≈ 18742.

Simplified radical form

The square root of 18742 in simplified radical form is √18742.

There are no square factors that can be taken outside the radical, so √18742 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal13618496
Upper or equal13718769

Nearby square roots

NumberSquare root
√18739136.8904671626
√18740136.8941196692
√18741136.8977720783
√18742136.90142439
√18743136.9050766042
√18744136.908728721
√18745136.9123807404

Number properties

Is 18742 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√18742 is irrational because 18742 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 18742.