Simplify Square Root of 5782

Here we will show you step-by-step how to simplify the square root of 5782. The square root of 5782 can be written as follows:


	√	5782

The √ symbol is called the radical sign. To simplify the square root of 5782 means to get the simplest radical form of √5782.

Step 1: List Factors
List the factors of 5782 like so:

1, 2, 7, 14, 49, 59, 98, 118, 413, 826, 2891, 5782

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

1, 49

Step 3: Divide
Divide 5782 by the largest perfect square you found in the previous step:

5782 / 49 = 118

Step 4: Calculate
Calculate the square root of the largest perfect square:

√49 = 7

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5782 in its simplest form:


7	√	118

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Decimal Form
Square Root of 5782 in Decimal form rounded to nearest 5 decimals:

76.03946

Exponent Form
Square Root of 5782 written with Exponent instead of Radical:

5782^½ = 7 x 118^½

Simplify Square Root of 5783
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* List of Perfect Squares