Simplify Square Root of 1428

Here we will show you step-by-step how to simplify the square root of 1428. The square root of 1428 can be written as follows:


	√	1428

The √ symbol is called the radical sign. To simplify the square root of 1428 means to get the simplest radical form of √1428.

Step 1: List Factors
List the factors of 1428 like so:

1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 68, 84, 102, 119, 204, 238, 357, 476, 714, 1428

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

1, 4

Step 3: Divide
Divide 1428 by the largest perfect square you found in the previous step:

1428 / 4 = 357

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 1428 in its simplest form:


2	√	357

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Decimal Form
Square Root of 1428 in Decimal form rounded to nearest 5 decimals:

37.78889

Exponent Form
Square Root of 1428 written with Exponent instead of Radical:

1428^½ = 2 x 357^½

Simplify Square Root of 1429
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* List of Perfect Squares