Simplify Square Root of 2023

Here we will show you step-by-step how to simplify the square root of 2023. The square root of 2023 can be written as follows:


	√	2023

The √ symbol is called the radical sign. To simplify the square root of 2023 means to get the simplest radical form of √2023.

Step 1: List Factors
List the factors of 2023 like so:

1, 7, 17, 119, 289, 2023

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

1, 289

Step 3: Divide
Divide 2023 by the largest perfect square you found in the previous step:

2023 / 289 = 7

Step 4: Calculate
Calculate the square root of the largest perfect square:

√289 = 17

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2023 in its simplest form:


17	√	7

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Decimal Form
Square Root of 2023 in Decimal form rounded to nearest 5 decimals:

44.97777

Exponent Form
Square Root of 2023 written with Exponent instead of Radical:

2023^½ = 17 x 7^½

Simplify Square Root of 2024
The answer to Simplify Square Root of 2023 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares