Simplify Square Root of 7974

Here we will show you step-by-step how to simplify the square root of 7974. The square root of 7974 can be written as follows:


	√	7974

The √ symbol is called the radical sign. To simplify the square root of 7974 means to get the simplest radical form of √7974.

Step 1: List Factors
List the factors of 7974 like so:

1, 2, 3, 6, 9, 18, 443, 886, 1329, 2658, 3987, 7974

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

1, 9

Step 3: Divide
Divide 7974 by the largest perfect square you found in the previous step:

7974 / 9 = 886

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 7974 in its simplest form:


3	√	886

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Decimal Form
Square Root of 7974 in Decimal form rounded to nearest 5 decimals:

89.29726

Exponent Form
Square Root of 7974 written with Exponent instead of Radical:

7974^½ = 3 x 886^½

Simplify Square Root of 7975
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* List of Perfect Squares