Simplify Square Root of 1053

Here we will show you step-by-step how to simplify the square root of 1053. The square root of 1053 can be written as follows:


	√	1053

The √ symbol is called the radical sign. To simplify the square root of 1053 means to get the simplest radical form of √1053.

Step 1: List Factors
List the factors of 1053 like so:

1, 3, 9, 13, 27, 39, 81, 117, 351, 1053

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

1, 9, 81

Step 3: Divide
Divide 1053 by the largest perfect square you found in the previous step:

1053 / 81 = 13

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

√81 = 9

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1053 in its simplest form:


9	√	13

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Decimal Form
Square Root of 1053 in Decimal form rounded to nearest 5 decimals:

32.44996

Exponent Form
Square Root of 1053 written with Exponent instead of Radical:

1053^½ = 9 x 13^½

Simplify Square Root of 1054
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* List of Perfect Squares