Simplify Square Root of 575

Here we will show you step-by-step how to simplify the square root of 575. The square root of 575 can be written as follows:


	√	575

The √ symbol is called the radical sign. To simplify the square root of 575 means to get the simplest radical form of √575.

Step 1: List Factors
List the factors of 575 like so:

1, 5, 23, 25, 115, 575

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

1, 25

Step 3: Divide
Divide 575 by the largest perfect square you found in the previous step:

575 / 25 = 23

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 575 in its simplest form:


5	√	23

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Decimal Form
Square Root of 575 in Decimal form rounded to nearest 5 decimals:

23.97916

Exponent Form
Square Root of 575 written with Exponent instead of Radical:

575^½ = 5 x 23^½

Simplify Square Root of 576
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* List of Perfect Squares