Simplify Square Root of 5796

Here we will show you step-by-step how to simplify the square root of 5796. The square root of 5796 can be written as follows:


	√	5796

The √ symbol is called the radical sign. To simplify the square root of 5796 means to get the simplest radical form of √5796.

Step 1: List Factors
List the factors of 5796 like so:

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 23, 28, 36, 42, 46, 63, 69, 84, 92, 126, 138, 161, 207, 252, 276, 322, 414, 483, 644, 828, 966, 1449, 1932, 2898, 5796

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

1, 4, 9, 36

Step 3: Divide
Divide 5796 by the largest perfect square you found in the previous step:

5796 / 36 = 161

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5796 in its simplest form:


6	√	161

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Decimal Form
Square Root of 5796 in Decimal form rounded to nearest 5 decimals:

76.13147

Exponent Form
Square Root of 5796 written with Exponent instead of Radical:

5796^½ = 6 x 161^½

Simplify Square Root of 5797
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* List of Perfect Squares