Simplify Square Root of 350

Here we will show you step-by-step how to simplify the square root of 350. The square root of 350 can be written as follows:


	√	350

The √ symbol is called the radical sign. To simplify the square root of 350 means to get the simplest radical form of √350.

Step 1: List Factors
List the factors of 350 like so:

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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

1, 25

Step 3: Divide
Divide 350 by the largest perfect square you found in the previous step:

350 / 25 = 14

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 350 in its simplest form:


5	√	14

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Decimal Form
Square Root of 350 in Decimal form rounded to nearest 5 decimals:

18.70829

Exponent Form
Square Root of 350 written with Exponent instead of Radical:

350^½ = 5 x 14^½

Simplify Square Root of 351
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* List of Perfect Squares