Simplify Square Root of 1125

Here we will show you step-by-step how to simplify the square root of 1125. The square root of 1125 can be written as follows:


	√	1125

The √ symbol is called the radical sign. To simplify the square root of 1125 means to get the simplest radical form of √1125.

Step 1: List Factors
List the factors of 1125 like so:

1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 1125

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

1, 9, 25, 225

Step 3: Divide
Divide 1125 by the largest perfect square you found in the previous step:

1125 / 225 = 5

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 1125 in its simplest form:


15	√	5

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Decimal Form
Square Root of 1125 in Decimal form rounded to nearest 5 decimals:

33.54102

Exponent Form
Square Root of 1125 written with Exponent instead of Radical:

1125^½ = 15 x 5^½

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* List of Perfect Squares