Simplify Square Root of 1648

Here we will show you step-by-step how to simplify the square root of 1648. The square root of 1648 can be written as follows:


	√	1648

The √ symbol is called the radical sign. To simplify the square root of 1648 means to get the simplest radical form of √1648.

Step 1: List Factors
List the factors of 1648 like so:

1, 2, 4, 8, 16, 103, 206, 412, 824, 1648

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

1, 4, 16

Step 3: Divide
Divide 1648 by the largest perfect square you found in the previous step:

1648 / 16 = 103

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 1648 in its simplest form:


4	√	103

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Decimal Form
Square Root of 1648 in Decimal form rounded to nearest 5 decimals:

40.59557

Exponent Form
Square Root of 1648 written with Exponent instead of Radical:

1648^½ = 4 x 103^½

Simplify Square Root of 1649
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* List of Perfect Squares