Simplify Square Root of 9947

Here we will show you step-by-step how to simplify the square root of 9947. The square root of 9947 can be written as follows:


	√	9947

The √ symbol is called the radical sign. To simplify the square root of 9947 means to get the simplest radical form of √9947.

Step 1: List Factors
List the factors of 9947 like so:

1, 7, 29, 49, 203, 343, 1421, 9947

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

1, 49

Step 3: Divide
Divide 9947 by the largest perfect square you found in the previous step:

9947 / 49 = 203

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

√49 = 7

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9947 in its simplest form:


7	√	203

Simplify Square Root Calculator
Please enter another Square Root for us to simplify:

Decimal Form
Square Root of 9947 in Decimal form rounded to nearest 5 decimals:

99.73465

Exponent Form
Square Root of 9947 written with Exponent instead of Radical:

9947^½ = 7 x 203^½

Simplify Square Root of 9948
The answer to Simplify Square Root of 9947 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares