Simplify Square Root of 3675

Here we will show you step-by-step how to simplify the square root of 3675. The square root of 3675 can be written as follows:


	√	3675

The √ symbol is called the radical sign. To simplify the square root of 3675 means to get the simplest radical form of √3675.

Step 1: List Factors
List the factors of 3675 like so:

1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225, 3675

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

1, 25, 49, 1225

Step 3: Divide
Divide 3675 by the largest perfect square you found in the previous step:

3675 / 1225 = 3

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

√1225 = 35

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3675 in its simplest form:


35	√	3

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Decimal Form
Square Root of 3675 in Decimal form rounded to nearest 5 decimals:

60.62178

Exponent Form
Square Root of 3675 written with Exponent instead of Radical:

3675^½ = 35 x 3^½

Simplify Square Root of 3676
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* List of Perfect Squares