Simplify Square Root of 7425

Here we will show you step-by-step how to simplify the square root of 7425. The square root of 7425 can be written as follows:


	√	7425

The √ symbol is called the radical sign. To simplify the square root of 7425 means to get the simplest radical form of √7425.

Step 1: List Factors
List the factors of 7425 like so:

1, 3, 5, 9, 11, 15, 25, 27, 33, 45, 55, 75, 99, 135, 165, 225, 275, 297, 495, 675, 825, 1485, 2475, 7425

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

1, 9, 25, 225

Step 3: Divide
Divide 7425 by the largest perfect square you found in the previous step:

7425 / 225 = 33

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

√225 = 15

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7425 in its simplest form:


15	√	33

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Decimal Form
Square Root of 7425 in Decimal form rounded to nearest 5 decimals:

86.16844

Exponent Form
Square Root of 7425 written with Exponent instead of Radical:

7425^½ = 15 x 33^½

Simplify Square Root of 7426
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* List of Perfect Squares