Simplify Square Root of 4075

Here we will show you step-by-step how to simplify the square root of 4075. The square root of 4075 can be written as follows:


	√	4075

The √ symbol is called the radical sign. To simplify the square root of 4075 means to get the simplest radical form of √4075.

Step 1: List Factors
List the factors of 4075 like so:

1, 5, 25, 163, 815, 4075

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

1, 25

Step 3: Divide
Divide 4075 by the largest perfect square you found in the previous step:

4075 / 25 = 163

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

√25 = 5

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4075 in its simplest form:


5	√	163

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Decimal Form
Square Root of 4075 in Decimal form rounded to nearest 5 decimals:

63.83573

Exponent Form
Square Root of 4075 written with Exponent instead of Radical:

4075^½ = 5 x 163^½

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* List of Perfect Squares