Simplify Square Root of 7000

Here we will show you step-by-step how to simplify the square root of 7000. The square root of 7000 can be written as follows:


	√	7000

The √ symbol is called the radical sign. To simplify the square root of 7000 means to get the simplest radical form of √7000.

Step 1: List Factors
List the factors of 7000 like so:

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 125, 140, 175, 200, 250, 280, 350, 500, 700, 875, 1000, 1400, 1750, 3500, 7000

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

1, 4, 25, 100

Step 3: Divide
Divide 7000 by the largest perfect square you found in the previous step:

7000 / 100 = 70

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 7000 in its simplest form:


10	√	70

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Decimal Form
Square Root of 7000 in Decimal form rounded to nearest 5 decimals:

83.666

Exponent Form
Square Root of 7000 written with Exponent instead of Radical:

7000^½ = 10 x 70^½

Simplify Square Root of 7001
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* List of Perfect Squares