Simplify Square Root of 7428

Here we will show you step-by-step how to simplify the square root of 7428. The square root of 7428 can be written as follows:


	√	7428

The √ symbol is called the radical sign. To simplify the square root of 7428 means to get the simplest radical form of √7428.

Step 1: List Factors
List the factors of 7428 like so:

1, 2, 3, 4, 6, 12, 619, 1238, 1857, 2476, 3714, 7428

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

1, 4

Step 3: Divide
Divide 7428 by the largest perfect square you found in the previous step:

7428 / 4 = 1857

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 7428 in its simplest form:


2	√	1857

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Decimal Form
Square Root of 7428 in Decimal form rounded to nearest 5 decimals:

86.18585

Exponent Form
Square Root of 7428 written with Exponent instead of Radical:

7428^½ = 2 x 1857^½

Simplify Square Root of 7429
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* List of Perfect Squares