What is the Square Root of 30?

The square root of 30 is 5.4772255751. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√30 = 5.4772255751
CalculatedNon-perfect squareIrrational
Exact form√30
Perfect squareNo
Number typeIrrational
Verification5.47722557512 ≈ 30

On this page

How the answer is calculated

We solve x2 = 30. The resulting value is x = 5.4772255751.

Verification: 5.47722557512 ≈ 30.

Simplified radical form

The square root of 30 in simplified radical form is √30.

There are no square factors that can be taken outside the radical, so √30 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal525
Upper or equal636

Nearby square roots

NumberSquare root
√275.1961524227
√285.2915026221
√295.3851648071
√305.4772255751
√315.5677643628
√325.6568542495
√335.7445626465

Number properties

Is 30 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√30 is irrational because 30 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 30.