Simplify Square Root of 747

Here we will show you step-by-step how to simplify the square root of 747. The square root of 747 can be written as follows:


	√	747

The √ symbol is called the radical sign. To simplify the square root of 747 means to get the simplest radical form of √747.

Step 1: List Factors
List the factors of 747 like so:

1, 3, 9, 83, 249, 747

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

1, 9

Step 3: Divide
Divide 747 by the largest perfect square you found in the previous step:

747 / 9 = 83

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 747 in its simplest form:


3	√	83

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Decimal Form
Square Root of 747 in Decimal form rounded to nearest 5 decimals:

27.3313

Exponent Form
Square Root of 747 written with Exponent instead of Radical:

747^½ = 3 x 83^½

Simplify Square Root of 748
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* List of Perfect Squares