Simplify Square Root of 5175

Here we will show you step-by-step how to simplify the square root of 5175. The square root of 5175 can be written as follows:


	√	5175

The √ symbol is called the radical sign. To simplify the square root of 5175 means to get the simplest radical form of √5175.

Step 1: List Factors
List the factors of 5175 like so:

1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 207, 225, 345, 575, 1035, 1725, 5175

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

1, 9, 25, 225

Step 3: Divide
Divide 5175 by the largest perfect square you found in the previous step:

5175 / 225 = 23

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 5175 in its simplest form:


15	√	23

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Decimal Form
Square Root of 5175 in Decimal form rounded to nearest 5 decimals:

71.93747

Exponent Form
Square Root of 5175 written with Exponent instead of Radical:

5175^½ = 15 x 23^½

Simplify Square Root of 5176
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* List of Perfect Squares