Simplify Square Root of 5150

Here we will show you step-by-step how to simplify the square root of 5150. The square root of 5150 can be written as follows:


	√	5150

The √ symbol is called the radical sign. To simplify the square root of 5150 means to get the simplest radical form of √5150.

Step 1: List Factors
List the factors of 5150 like so:

1, 2, 5, 10, 25, 50, 103, 206, 515, 1030, 2575, 5150

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

1, 25

Step 3: Divide
Divide 5150 by the largest perfect square you found in the previous step:

5150 / 25 = 206

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 5150 in its simplest form:


5	√	206

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Decimal Form
Square Root of 5150 in Decimal form rounded to nearest 5 decimals:

71.7635

Exponent Form
Square Root of 5150 written with Exponent instead of Radical:

5150^½ = 5 x 206^½

Simplify Square Root of 5151
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* List of Perfect Squares