Simplify Square Root of 1023

Here we will show you step-by-step how to simplify the square root of 1023. The square root of 1023 can be written as follows:


	√	1023

The √ symbol is called the radical sign. To simplify the square root of 1023 means to get simplest radical form of √1023.

Step 1: List Factors
List the factors of 1023 like so:

1, 3, 11, 31, 33, 93, 341, 1023

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 1023 cannot be simplified.

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

Square root of 1023 in Decimal form rounded to nearest 5 decimals:

31.98437

Square root of 1023 written with Exponent instead of Radical:

1023^½

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* List of Perfect Squares