Simplify Square Root of 7420

Here we will show you step-by-step how to simplify the square root of 7420. The square root of 7420 can be written as follows:


	√	7420

The √ symbol is called the radical sign. To simplify the square root of 7420 means to get the simplest radical form of √7420.

Step 1: List Factors
List the factors of 7420 like so:

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 53, 70, 106, 140, 212, 265, 371, 530, 742, 1060, 1484, 1855, 3710, 7420

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

1, 4

Step 3: Divide
Divide 7420 by the largest perfect square you found in the previous step:

7420 / 4 = 1855

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7420 in its simplest form:


2	√	1855

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Decimal Form
Square Root of 7420 in Decimal form rounded to nearest 5 decimals:

86.13942

Exponent Form
Square Root of 7420 written with Exponent instead of Radical:

7420^½ = 2 x 1855^½

Simplify Square Root of 7421
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* List of Perfect Squares