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What is the Square Root of 30420?

The square root of 30420 is 174.413302245. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√30420 = 174.413302245
CalculatedNon-perfect squareIrrational
Exact form√30420
Perfect squareNo
Number typeIrrational
Verification174.4133022452 ≈ 30420

On this page

How the answer is calculated

We solve x2 = 30420. The resulting value is x = 174.413302245.

Verification: 174.4133022452 ≈ 30420.

Simplified radical form

The square root of 30420 in simplified radical form is 78√5.

This is equivalent to √30420, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17430276
Upper or equal17530625

Nearby square roots

NumberSquare root
√30417174.4047017715
√30418174.4075686431
√30419174.4104354676
√30420174.413302245
√30421174.4161689752
√30422174.4190356584
√30423174.4219022944

Number properties

Is 30420 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√30420 is irrational because 30420 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 30420.