Simplify Square Root of 5648

Here we will show you step-by-step how to simplify the square root of 5648. The square root of 5648 can be written as follows:


	√	5648

The √ symbol is called the radical sign. To simplify the square root of 5648 means to get the simplest radical form of √5648.

Step 1: List Factors
List the factors of 5648 like so:

1, 2, 4, 8, 16, 353, 706, 1412, 2824, 5648

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

1, 4, 16

Step 3: Divide
Divide 5648 by the largest perfect square you found in the previous step:

5648 / 16 = 353

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 5648 in its simplest form:


4	√	353

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Decimal Form
Square Root of 5648 in Decimal form rounded to nearest 5 decimals:

75.15318

Exponent Form
Square Root of 5648 written with Exponent instead of Radical:

5648^½ = 4 x 353^½

Simplify Square Root of 5649
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* List of Perfect Squares