Infolity
  1. Home
  2. Calculators
  3. Square Root

What is the Square Root of 46?

The square root of 46 is 6.7823299831. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√46 = 6.7823299831
CalculatedNon-perfect squareIrrational
Exact form√46
Perfect squareNo
Number typeIrrational
Verification6.78232998312 ≈ 46

On this page

How the answer is calculated

We solve x2 = 46. The resulting value is x = 6.7823299831.

Verification: 6.78232998312 ≈ 46.

Simplified radical form

The square root of 46 in simplified radical form is √46.

There are no square factors that can be taken outside the radical, so √46 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal636
Upper or equal749

Nearby square roots

NumberSquare root
√436.5574385243
√446.6332495807
√456.7082039325
√466.7823299831
√476.8556546004
√486.9282032303
√497

Number properties

Is 46 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√46 is irrational because 46 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 46.