Simplify Square Root of 462

Here we will show you step-by-step how to simplify the square root of 462. The square root of 462 can be written as follows:


	√	462

The √ symbol is called the radical sign. To simplify the square root of 462 means to get simplest radical form of √462.

Step 1: List Factors
List the factors of 462 like so:

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:

1

Since 1 is the only perfect square above, the square root of 462 cannot be simplified.

However, you may be interested in the decimal and exponent form instead.

Square root of 462 in Decimal form rounded to nearest 5 decimals:

21.49419

Square root of 462 written with Exponent instead of Radical:

462^½

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Simplify Square Root of 463
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* List of Perfect Squares