Simplify Square Root of 1664

Here we will show you step-by-step how to simplify the square root of 1664. The square root of 1664 can be written as follows:


	√	1664

The √ symbol is called the radical sign. To simplify the square root of 1664 means to get the simplest radical form of √1664.

Step 1: List Factors
List the factors of 1664 like so:

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 416, 832, 1664

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

1, 4, 16, 64

Step 3: Divide
Divide 1664 by the largest perfect square you found in the previous step:

1664 / 64 = 26

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 1664 in its simplest form:


8	√	26

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Decimal Form
Square Root of 1664 in Decimal form rounded to nearest 5 decimals:

40.79216

Exponent Form
Square Root of 1664 written with Exponent instead of Radical:

1664^½ = 8 x 26^½

Simplify Square Root of 1665
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* List of Perfect Squares