What is the Square Root of 38?

The square root of 38 is 6.164414003. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√38 = 6.164414003
CalculatedNon-perfect squareIrrational
Exact form√38
Perfect squareNo
Number typeIrrational
Verification6.1644140032 ≈ 38

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How the answer is calculated

We solve x2 = 38. The resulting value is x = 6.164414003.

Verification: 6.1644140032 ≈ 38.

Simplified radical form

The square root of 38 in simplified radical form is √38.

There are no square factors that can be taken outside the radical, so √38 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal636
Upper or equal749

Nearby square roots

NumberSquare root
√355.9160797831
√366
√376.0827625303
√386.164414003
√396.2449979984
√406.3245553203
√416.4031242374

Number properties

Is 38 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√38 is irrational because 38 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 38.