Simplify Square Root of 7484

Here we will show you step-by-step how to simplify the square root of 7484. The square root of 7484 can be written as follows:


	√	7484

The √ symbol is called the radical sign. To simplify the square root of 7484 means to get the simplest radical form of √7484.

Step 1: List Factors
List the factors of 7484 like so:

1, 2, 4, 1871, 3742, 7484

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

1, 4

Step 3: Divide
Divide 7484 by the largest perfect square you found in the previous step:

7484 / 4 = 1871

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 7484 in its simplest form:


2	√	1871

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Decimal Form
Square Root of 7484 in Decimal form rounded to nearest 5 decimals:

86.51012

Exponent Form
Square Root of 7484 written with Exponent instead of Radical:

7484^½ = 2 x 1871^½

Simplify Square Root of 7485
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* List of Perfect Squares