Simplify Square Root of 7664

Here we will show you step-by-step how to simplify the square root of 7664. The square root of 7664 can be written as follows:


	√	7664

The √ symbol is called the radical sign. To simplify the square root of 7664 means to get the simplest radical form of √7664.

Step 1: List Factors
List the factors of 7664 like so:

1, 2, 4, 8, 16, 479, 958, 1916, 3832, 7664

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

1, 4, 16

Step 3: Divide
Divide 7664 by the largest perfect square you found in the previous step:

7664 / 16 = 479

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7664 in its simplest form:


4	√	479

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Decimal Form
Square Root of 7664 in Decimal form rounded to nearest 5 decimals:

87.54427

Exponent Form
Square Root of 7664 written with Exponent instead of Radical:

7664^½ = 4 x 479^½

Simplify Square Root of 7665
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* List of Perfect Squares