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What is the Square Root of 30013?

The square root of 30013 is 173.2426044598. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√30013 = 173.2426044598
CalculatedNon-perfect squareIrrational
Exact form√30013
Perfect squareNo
Number typeIrrational
Verification173.24260445982 ≈ 30013

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How the answer is calculated

We solve x2 = 30013. The resulting value is x = 173.2426044598.

Verification: 173.24260445982 ≈ 30013.

Simplified radical form

The square root of 30013 in simplified radical form is √30013.

There are no square factors that can be taken outside the radical, so √30013 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal17329929
Upper or equal17430276

Nearby square roots

NumberSquare root
√30010173.2339458651
√30011173.2368321114
√30012173.2397183096
√30013173.2426044598
√30014173.2454905618
√30015173.2483766158
√30016173.2512626217

Number properties

Is 30013 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√30013 is irrational because 30013 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 30013.