Simplify Square Root of 3575

Here we will show you step-by-step how to simplify the square root of 3575. The square root of 3575 can be written as follows:


	√	3575

The √ symbol is called the radical sign. To simplify the square root of 3575 means to get the simplest radical form of √3575.

Step 1: List Factors
List the factors of 3575 like so:

1, 5, 11, 13, 25, 55, 65, 143, 275, 325, 715, 3575

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

1, 25

Step 3: Divide
Divide 3575 by the largest perfect square you found in the previous step:

3575 / 25 = 143

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 3575 in its simplest form:


5	√	143

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Decimal Form
Square Root of 3575 in Decimal form rounded to nearest 5 decimals:

59.7913

Exponent Form
Square Root of 3575 written with Exponent instead of Radical:

3575^½ = 5 x 143^½

Simplify Square Root of 3576
The answer to Simplify Square Root of 3575 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares