Simplify Square Root of 850

Here we will show you step-by-step how to simplify the square root of 850. The square root of 850 can be written as follows:


	√	850

The √ symbol is called the radical sign. To simplify the square root of 850 means to get the simplest radical form of √850.

Step 1: List Factors
List the factors of 850 like so:

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

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

1, 25

Step 3: Divide
Divide 850 by the largest perfect square you found in the previous step:

850 / 25 = 34

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 850 in its simplest form:


5	√	34

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Decimal Form
Square Root of 850 in Decimal form rounded to nearest 5 decimals:

29.15476

Exponent Form
Square Root of 850 written with Exponent instead of Radical:

850^½ = 5 x 34^½

Simplify Square Root of 851
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* List of Perfect Squares