Simplify Square Root of 700

Here we will show you step-by-step how to simplify the square root of 700. The square root of 700 can be written as follows:


	√	700

The √ symbol is called the radical sign. To simplify the square root of 700 means to get the simplest radical form of √700.

Step 1: List Factors
List the factors of 700 like so:

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

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

1, 4, 25, 100

Step 3: Divide
Divide 700 by the largest perfect square you found in the previous step:

700 / 100 = 7

Step 4: Calculate
Calculate the square root of the largest perfect square:

√100 = 10

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 700 in its simplest form:


10	√	7

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Decimal Form
Square Root of 700 in Decimal form rounded to nearest 5 decimals:

26.45751

Exponent Form
Square Root of 700 written with Exponent instead of Radical:

700^½ = 10 x 7^½

Simplify Square Root of 701
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* List of Perfect Squares