Simplify Square Root of 1020

Here we will show you step-by-step how to simplify the square root of 1020. The square root of 1020 can be written as follows:


	√	1020

The √ symbol is called the radical sign. To simplify the square root of 1020 means to get the simplest radical form of √1020.

Step 1: List Factors
List the factors of 1020 like so:

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, 1020

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

1, 4

Step 3: Divide
Divide 1020 by the largest perfect square you found in the previous step:

1020 / 4 = 255

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1020 in its simplest form:


2	√	255

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Decimal Form
Square Root of 1020 in Decimal form rounded to nearest 5 decimals:

31.93744

Exponent Form
Square Root of 1020 written with Exponent instead of Radical:

1020^½ = 2 x 255^½

Simplify Square Root of 1021
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* List of Perfect Squares