Simplify Square Root of 3528

Here we will show you step-by-step how to simplify the square root of 3528. The square root of 3528 can be written as follows:


	√	3528

The √ symbol is called the radical sign. To simplify the square root of 3528 means to get the simplest radical form of √3528.

Step 1: List Factors
List the factors of 3528 like so:

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 49, 56, 63, 72, 84, 98, 126, 147, 168, 196, 252, 294, 392, 441, 504, 588, 882, 1176, 1764, 3528

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

1, 4, 9, 36, 49, 196, 441, 1764

Step 3: Divide
Divide 3528 by the largest perfect square you found in the previous step:

3528 / 1764 = 2

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

√1764 = 42

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3528 in its simplest form:


42	√	2

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Decimal Form
Square Root of 3528 in Decimal form rounded to nearest 5 decimals:

59.39697

Exponent Form
Square Root of 3528 written with Exponent instead of Radical:

3528^½ = 42 x 2^½

Simplify Square Root of 3529
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* List of Perfect Squares