Simplify Square Root of 7104

Here we will show you step-by-step how to simplify the square root of 7104. The square root of 7104 can be written as follows:


	√	7104

The √ symbol is called the radical sign. To simplify the square root of 7104 means to get the simplest radical form of √7104.

Step 1: List Factors
List the factors of 7104 like so:

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 64, 74, 96, 111, 148, 192, 222, 296, 444, 592, 888, 1184, 1776, 2368, 3552, 7104

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

1, 4, 16, 64

Step 3: Divide
Divide 7104 by the largest perfect square you found in the previous step:

7104 / 64 = 111

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7104 in its simplest form:


8	√	111

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Decimal Form
Square Root of 7104 in Decimal form rounded to nearest 5 decimals:

84.28523

Exponent Form
Square Root of 7104 written with Exponent instead of Radical:

7104^½ = 8 x 111^½

Simplify Square Root of 7105
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* List of Perfect Squares