Simplify Square Root of 3630

Here we will show you step-by-step how to simplify the square root of 3630. The square root of 3630 can be written as follows:


	√	3630

The √ symbol is called the radical sign. To simplify the square root of 3630 means to get the simplest radical form of √3630.

Step 1: List Factors
List the factors of 3630 like so:

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815, 3630

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

1, 121

Step 3: Divide
Divide 3630 by the largest perfect square you found in the previous step:

3630 / 121 = 30

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

√121 = 11

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3630 in its simplest form:


11	√	30

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Decimal Form
Square Root of 3630 in Decimal form rounded to nearest 5 decimals:

60.24948

Exponent Form
Square Root of 3630 written with Exponent instead of Radical:

3630^½ = 11 x 30^½

Simplify Square Root of 3631
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* List of Perfect Squares