Simplify Square Root of 7152

Here we will show you step-by-step how to simplify the square root of 7152. The square root of 7152 can be written as follows:


	√	7152

The √ symbol is called the radical sign. To simplify the square root of 7152 means to get the simplest radical form of √7152.

Step 1: List Factors
List the factors of 7152 like so:

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 149, 298, 447, 596, 894, 1192, 1788, 2384, 3576, 7152

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

1, 4, 16

Step 3: Divide
Divide 7152 by the largest perfect square you found in the previous step:

7152 / 16 = 447

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 7152 in its simplest form:


4	√	447

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Decimal Form
Square Root of 7152 in Decimal form rounded to nearest 5 decimals:

84.5695

Exponent Form
Square Root of 7152 written with Exponent instead of Radical:

7152^½ = 4 x 447^½

Simplify Square Root of 7153
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* List of Perfect Squares