Simplify Square Root of 1408

Here we will show you step-by-step how to simplify the square root of 1408. The square root of 1408 can be written as follows:


	√	1408

The √ symbol is called the radical sign. To simplify the square root of 1408 means to get the simplest radical form of √1408.

Step 1: List Factors
List the factors of 1408 like so:

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 352, 704, 1408

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

1, 4, 16, 64

Step 3: Divide
Divide 1408 by the largest perfect square you found in the previous step:

1408 / 64 = 22

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 1408 in its simplest form:


8	√	22

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Decimal Form
Square Root of 1408 in Decimal form rounded to nearest 5 decimals:

37.52333

Exponent Form
Square Root of 1408 written with Exponent instead of Radical:

1408^½ = 8 x 22^½

Simplify Square Root of 1409
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* List of Perfect Squares