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What is the Square Root of 47?

The square root of 47 is 6.8556546004. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√47 = 6.8556546004
CalculatedNon-perfect squareIrrational
Exact form√47
Perfect squareNo
Number typeIrrational
Verification6.85565460042 ≈ 47

On this page

How the answer is calculated

We solve x2 = 47. The resulting value is x = 6.8556546004.

Verification: 6.85565460042 ≈ 47.

Simplified radical form

The square root of 47 in simplified radical form is √47.

There are no square factors that can be taken outside the radical, so √47 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal636
Upper or equal749

Nearby square roots

NumberSquare root
√446.6332495807
√456.7082039325
√466.7823299831
√476.8556546004
√486.9282032303
√497
√507.0710678119

Number properties

Is 47 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√47 is irrational because 47 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 47.