Simplify Square Root of 7136

Here we will show you step-by-step how to simplify the square root of 7136. The square root of 7136 can be written as follows:


	√	7136

The √ symbol is called the radical sign. To simplify the square root of 7136 means to get the simplest radical form of √7136.

Step 1: List Factors
List the factors of 7136 like so:

1, 2, 4, 8, 16, 32, 223, 446, 892, 1784, 3568, 7136

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

1, 4, 16

Step 3: Divide
Divide 7136 by the largest perfect square you found in the previous step:

7136 / 16 = 446

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7136 in its simplest form:


4	√	446

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Decimal Form
Square Root of 7136 in Decimal form rounded to nearest 5 decimals:

84.47485

Exponent Form
Square Root of 7136 written with Exponent instead of Radical:

7136^½ = 4 x 446^½

Simplify Square Root of 7137
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* List of Perfect Squares