Simplify Square Root of 1148

Here we will show you step-by-step how to simplify the square root of 1148. The square root of 1148 can be written as follows:


	√	1148

The √ symbol is called the radical sign. To simplify the square root of 1148 means to get the simplest radical form of √1148.

Step 1: List Factors
List the factors of 1148 like so:

1, 2, 4, 7, 14, 28, 41, 82, 164, 287, 574, 1148

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

1, 4

Step 3: Divide
Divide 1148 by the largest perfect square you found in the previous step:

1148 / 4 = 287

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 1148 in its simplest form:


2	√	287

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Decimal Form
Square Root of 1148 in Decimal form rounded to nearest 5 decimals:

33.88215

Exponent Form
Square Root of 1148 written with Exponent instead of Radical:

1148^½ = 2 x 287^½

Simplify Square Root of 1149
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* List of Perfect Squares