Simplify Square Root of 7132

Here we will show you step-by-step how to simplify the square root of 7132. The square root of 7132 can be written as follows:


	√	7132

The √ symbol is called the radical sign. To simplify the square root of 7132 means to get the simplest radical form of √7132.

Step 1: List Factors
List the factors of 7132 like so:

1, 2, 4, 1783, 3566, 7132

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

1, 4

Step 3: Divide
Divide 7132 by the largest perfect square you found in the previous step:

7132 / 4 = 1783

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 7132 in its simplest form:


2	√	1783

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Decimal Form
Square Root of 7132 in Decimal form rounded to nearest 5 decimals:

84.45117

Exponent Form
Square Root of 7132 written with Exponent instead of Radical:

7132^½ = 2 x 1783^½

Simplify Square Root of 7133
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* List of Perfect Squares