Simplify Square Root of 7245

Here we will show you step-by-step how to simplify the square root of 7245. The square root of 7245 can be written as follows:


	√	7245

The √ symbol is called the radical sign. To simplify the square root of 7245 means to get the simplest radical form of √7245.

Step 1: List Factors
List the factors of 7245 like so:

1, 3, 5, 7, 9, 15, 21, 23, 35, 45, 63, 69, 105, 115, 161, 207, 315, 345, 483, 805, 1035, 1449, 2415, 7245

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

1, 9

Step 3: Divide
Divide 7245 by the largest perfect square you found in the previous step:

7245 / 9 = 805

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 7245 in its simplest form:


3	√	805

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Decimal Form
Square Root of 7245 in Decimal form rounded to nearest 5 decimals:

85.11757

Exponent Form
Square Root of 7245 written with Exponent instead of Radical:

7245^½ = 3 x 805^½

Simplify Square Root of 7246
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* List of Perfect Squares