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What is the Square Root of 30464?

The square root of 30464 is 174.5393938342. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√30464 = 174.5393938342
CalculatedNon-perfect squareIrrational
Exact form√30464
Perfect squareNo
Number typeIrrational
Verification174.53939383422 ≈ 30464

On this page

How the answer is calculated

We solve x2 = 30464. The resulting value is x = 174.5393938342.

Verification: 174.53939383422 ≈ 30464.

Simplified radical form

The square root of 30464 in simplified radical form is 16√119.

This is equivalent to √30464, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17430276
Upper or equal17530625

Nearby square roots

NumberSquare root
√30461174.5307995742
√30462174.5336643745
√30463174.5365291279
√30464174.5393938342
√30465174.5422584935
√30466174.5451231057
√30467174.547987671

Number properties

Is 30464 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√30464 is irrational because 30464 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 30464.