Simplify Square Root of 1088

Here we will show you step-by-step how to simplify the square root of 1088. The square root of 1088 can be written as follows:


	√	1088

The √ symbol is called the radical sign. To simplify the square root of 1088 means to get the simplest radical form of √1088.

Step 1: List Factors
List the factors of 1088 like so:

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 544, 1088

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

1, 4, 16, 64

Step 3: Divide
Divide 1088 by the largest perfect square you found in the previous step:

1088 / 64 = 17

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1088 in its simplest form:


8	√	17

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Decimal Form
Square Root of 1088 in Decimal form rounded to nearest 5 decimals:

32.98485

Exponent Form
Square Root of 1088 written with Exponent instead of Radical:

1088^½ = 8 x 17^½

Simplify Square Root of 1089
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* List of Perfect Squares