Simplify Square Root of 1048

Here we will show you step-by-step how to simplify the square root of 1048. The square root of 1048 can be written as follows:


	√	1048

The √ symbol is called the radical sign. To simplify the square root of 1048 means to get the simplest radical form of √1048.

Step 1: List Factors
List the factors of 1048 like so:

1, 2, 4, 8, 131, 262, 524, 1048

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

1, 4

Step 3: Divide
Divide 1048 by the largest perfect square you found in the previous step:

1048 / 4 = 262

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 1048 in its simplest form:


2	√	262

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Decimal Form
Square Root of 1048 in Decimal form rounded to nearest 5 decimals:

32.37283

Exponent Form
Square Root of 1048 written with Exponent instead of Radical:

1048^½ = 2 x 262^½

Simplify Square Root of 1049
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* List of Perfect Squares