Simplify Square Root of 7616

Here we will show you step-by-step how to simplify the square root of 7616. The square root of 7616 can be written as follows:


	√	7616

The √ symbol is called the radical sign. To simplify the square root of 7616 means to get the simplest radical form of √7616.

Step 1: List Factors
List the factors of 7616 like so:

1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 64, 68, 112, 119, 136, 224, 238, 272, 448, 476, 544, 952, 1088, 1904, 3808, 7616

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

1, 4, 16, 64

Step 3: Divide
Divide 7616 by the largest perfect square you found in the previous step:

7616 / 64 = 119

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7616 in its simplest form:


8	√	119

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Decimal Form
Square Root of 7616 in Decimal form rounded to nearest 5 decimals:

87.2697

Exponent Form
Square Root of 7616 written with Exponent instead of Radical:

7616^½ = 8 x 119^½

Simplify Square Root of 7617
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* List of Perfect Squares