Simplify Square Root of 420

Here we will show you step-by-step how to simplify the square root of 420. The square root of 420 can be written as follows:


	√	420

The √ symbol is called the radical sign. To simplify the square root of 420 means to get the simplest radical form of √420.

Step 1: List Factors
List the factors of 420 like so:

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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

1, 4

Step 3: Divide
Divide 420 by the largest perfect square you found in the previous step:

420 / 4 = 105

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 420 in its simplest form:


2	√	105

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Decimal Form
Square Root of 420 in Decimal form rounded to nearest 5 decimals:

20.4939

Exponent Form
Square Root of 420 written with Exponent instead of Radical:

420^½ = 2 x 105^½

Simplify Square Root of 421
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* List of Perfect Squares