Simplify Square Root of 475

Here we will show you step-by-step how to simplify the square root of 475. The square root of 475 can be written as follows:


	√	475

The √ symbol is called the radical sign. To simplify the square root of 475 means to get the simplest radical form of √475.

Step 1: List Factors
List the factors of 475 like so:

1, 5, 19, 25, 95, 475

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

1, 25

Step 3: Divide
Divide 475 by the largest perfect square you found in the previous step:

475 / 25 = 19

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 475 in its simplest form:


5	√	19

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Decimal Form
Square Root of 475 in Decimal form rounded to nearest 5 decimals:

21.79449

Exponent Form
Square Root of 475 written with Exponent instead of Radical:

475^½ = 5 x 19^½

Simplify Square Root of 476
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* List of Perfect Squares