Simplify Square Root of 1064

Here we will show you step-by-step how to simplify the square root of 1064. The square root of 1064 can be written as follows:


	√	1064

The √ symbol is called the radical sign. To simplify the square root of 1064 means to get the simplest radical form of √1064.

Step 1: List Factors
List the factors of 1064 like so:

1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 76, 133, 152, 266, 532, 1064

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

1, 4

Step 3: Divide
Divide 1064 by the largest perfect square you found in the previous step:

1064 / 4 = 266

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 1064 in its simplest form:


2	√	266

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Decimal Form
Square Root of 1064 in Decimal form rounded to nearest 5 decimals:

32.61901

Exponent Form
Square Root of 1064 written with Exponent instead of Radical:

1064^½ = 2 x 266^½

Simplify Square Root of 1065
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* List of Perfect Squares