Simplify Square Root of 7648

Here we will show you step-by-step how to simplify the square root of 7648. The square root of 7648 can be written as follows:


	√	7648

The √ symbol is called the radical sign. To simplify the square root of 7648 means to get the simplest radical form of √7648.

Step 1: List Factors
List the factors of 7648 like so:

1, 2, 4, 8, 16, 32, 239, 478, 956, 1912, 3824, 7648

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

1, 4, 16

Step 3: Divide
Divide 7648 by the largest perfect square you found in the previous step:

7648 / 16 = 478

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 7648 in its simplest form:


4	√	478

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Decimal Form
Square Root of 7648 in Decimal form rounded to nearest 5 decimals:

87.45284

Exponent Form
Square Root of 7648 written with Exponent instead of Radical:

7648^½ = 4 x 478^½

Simplify Square Root of 7649
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* List of Perfect Squares