Simplify Square Root of 3735

Here we will show you step-by-step how to simplify the square root of 3735. The square root of 3735 can be written as follows:


	√	3735

The √ symbol is called the radical sign. To simplify the square root of 3735 means to get the simplest radical form of √3735.

Step 1: List Factors
List the factors of 3735 like so:

1, 3, 5, 9, 15, 45, 83, 249, 415, 747, 1245, 3735

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

1, 9

Step 3: Divide
Divide 3735 by the largest perfect square you found in the previous step:

3735 / 9 = 415

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3735 in its simplest form:


3	√	415

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Decimal Form
Square Root of 3735 in Decimal form rounded to nearest 5 decimals:

61.11465

Exponent Form
Square Root of 3735 written with Exponent instead of Radical:

3735^½ = 3 x 415^½

Simplify Square Root of 3736
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* List of Perfect Squares