Simplify Square Root of 1288

Here we will show you step-by-step how to simplify the square root of 1288. The square root of 1288 can be written as follows:


	√	1288

The √ symbol is called the radical sign. To simplify the square root of 1288 means to get the simplest radical form of √1288.

Step 1: List Factors
List the factors of 1288 like so:

1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 92, 161, 184, 322, 644, 1288

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

1, 4

Step 3: Divide
Divide 1288 by the largest perfect square you found in the previous step:

1288 / 4 = 322

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 1288 in its simplest form:


2	√	322

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Decimal Form
Square Root of 1288 in Decimal form rounded to nearest 5 decimals:

35.88872

Exponent Form
Square Root of 1288 written with Exponent instead of Radical:

1288^½ = 2 x 322^½

Simplify Square Root of 1289
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* List of Perfect Squares