Simplify Square Root of 735

Here we will show you step-by-step how to simplify the square root of 735. The square root of 735 can be written as follows:


	√	735

The √ symbol is called the radical sign. To simplify the square root of 735 means to get the simplest radical form of √735.

Step 1: List Factors
List the factors of 735 like so:

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

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

1, 49

Step 3: Divide
Divide 735 by the largest perfect square you found in the previous step:

735 / 49 = 15

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

√49 = 7

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 735 in its simplest form:


7	√	15

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Decimal Form
Square Root of 735 in Decimal form rounded to nearest 5 decimals:

27.11088

Exponent Form
Square Root of 735 written with Exponent instead of Radical:

735^½ = 7 x 15^½

Simplify Square Root of 736
The answer to Simplify Square Root of 735 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares