Simplify Square Root of 650

Here we will show you step-by-step how to simplify the square root of 650. The square root of 650 can be written as follows:


	√	650

The √ symbol is called the radical sign. To simplify the square root of 650 means to get the simplest radical form of √650.

Step 1: List Factors
List the factors of 650 like so:

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

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

1, 25

Step 3: Divide
Divide 650 by the largest perfect square you found in the previous step:

650 / 25 = 26

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 650 in its simplest form:


5	√	26

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Decimal Form
Square Root of 650 in Decimal form rounded to nearest 5 decimals:

25.4951

Exponent Form
Square Root of 650 written with Exponent instead of Radical:

650^½ = 5 x 26^½

Simplify Square Root of 651
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* List of Perfect Squares