Simplify Square Root of 7632

Here we will show you step-by-step how to simplify the square root of 7632. The square root of 7632 can be written as follows:


	√	7632

The √ symbol is called the radical sign. To simplify the square root of 7632 means to get the simplest radical form of √7632.

Step 1: List Factors
List the factors of 7632 like so:

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 53, 72, 106, 144, 159, 212, 318, 424, 477, 636, 848, 954, 1272, 1908, 2544, 3816, 7632

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

1, 4, 9, 16, 36, 144

Step 3: Divide
Divide 7632 by the largest perfect square you found in the previous step:

7632 / 144 = 53

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

√144 = 12

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7632 in its simplest form:


12	√	53

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Decimal Form
Square Root of 7632 in Decimal form rounded to nearest 5 decimals:

87.36132

Exponent Form
Square Root of 7632 written with Exponent instead of Radical:

7632^½ = 12 x 53^½

Simplify Square Root of 7633
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* List of Perfect Squares