Simplify Square Root of 8470

Here we will show you step-by-step how to simplify the square root of 8470. The square root of 8470 can be written as follows:


	√	8470

The √ symbol is called the radical sign. To simplify the square root of 8470 means to get the simplest radical form of √8470.

Step 1: List Factors
List the factors of 8470 like so:

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 121, 154, 242, 385, 605, 770, 847, 1210, 1694, 4235, 8470

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

1, 121

Step 3: Divide
Divide 8470 by the largest perfect square you found in the previous step:

8470 / 121 = 70

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

√121 = 11

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8470 in its simplest form:


11	√	70

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

Decimal Form
Square Root of 8470 in Decimal form rounded to nearest 5 decimals:

92.0326

Exponent Form
Square Root of 8470 written with Exponent instead of Radical:

8470^½ = 11 x 70^½

Simplify Square Root of 8471
The answer to Simplify Square Root of 8470 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares