Simplify Square Root of 5100

Here we will show you step-by-step how to simplify the square root of 5100. The square root of 5100 can be written as follows:


	√	5100

The √ symbol is called the radical sign. To simplify the square root of 5100 means to get the simplest radical form of √5100.

Step 1: List Factors
List the factors of 5100 like so:

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 25, 30, 34, 50, 51, 60, 68, 75, 85, 100, 102, 150, 170, 204, 255, 300, 340, 425, 510, 850, 1020, 1275, 1700, 2550, 5100

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

1, 4, 25, 100

Step 3: Divide
Divide 5100 by the largest perfect square you found in the previous step:

5100 / 100 = 51

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 5100 in its simplest form:


10	√	51

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Decimal Form
Square Root of 5100 in Decimal form rounded to nearest 5 decimals:

71.41428

Exponent Form
Square Root of 5100 written with Exponent instead of Radical:

5100^½ = 10 x 51^½

Simplify Square Root of 5101
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* List of Perfect Squares