Simplify Square Root of 5000

Here we will show you step-by-step how to simplify the square root of 5000. The square root of 5000 can be written as follows:


	√	5000

The √ symbol is called the radical sign. To simplify the square root of 5000 means to get the simplest radical form of √5000.

Step 1: List Factors
List the factors of 5000 like so:

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000

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

1, 4, 25, 100, 625, 2500

Step 3: Divide
Divide 5000 by the largest perfect square you found in the previous step:

5000 / 2500 = 2

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

√2500 = 50

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5000 in its simplest form:


50	√	2

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Decimal Form
Square Root of 5000 in Decimal form rounded to nearest 5 decimals:

70.71068

Exponent Form
Square Root of 5000 written with Exponent instead of Radical:

5000^½ = 50 x 2^½

Simplify Square Root of 5001
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* List of Perfect Squares