Simplify Square Root of 5848

Here we will show you step-by-step how to simplify the square root of 5848. The square root of 5848 can be written as follows:


	√	5848

The √ symbol is called the radical sign. To simplify the square root of 5848 means to get the simplest radical form of √5848.

Step 1: List Factors
List the factors of 5848 like so:

1, 2, 4, 8, 17, 34, 43, 68, 86, 136, 172, 344, 731, 1462, 2924, 5848

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

1, 4

Step 3: Divide
Divide 5848 by the largest perfect square you found in the previous step:

5848 / 4 = 1462

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 5848 in its simplest form:


2	√	1462

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Decimal Form
Square Root of 5848 in Decimal form rounded to nearest 5 decimals:

76.47222

Exponent Form
Square Root of 5848 written with Exponent instead of Radical:

5848^½ = 2 x 1462^½

Simplify Square Root of 5849
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* List of Perfect Squares