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 |

**Simplify Square Root Calculator**

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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**

The answer to Simplify Square Root of 1048 is not the only problem we solved. Go here for the next problem on our list.

*****List of Perfect Squares

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