Simplify Square Root of 1792

Here we will show you step-by-step how to simplify the square root of 1792. The square root of 1792 can be written as follows:


	√	1792

The √ symbol is called the radical sign. To simplify the square root of 1792 means to get the simplest radical form of √1792.

Step 1: List Factors
List the factors of 1792 like so:

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896, 1792

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

1, 4, 16, 64, 256

Step 3: Divide
Divide 1792 by the largest perfect square you found in the previous step:

1792 / 256 = 7

Step 4: Calculate
Calculate the square root of the largest perfect square:

√256 = 16

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1792 in its simplest form:


16	√	7

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Decimal Form
Square Root of 1792 in Decimal form rounded to nearest 5 decimals:

42.33202

Exponent Form
Square Root of 1792 written with Exponent instead of Radical:

1792^½ = 16 x 7^½

Simplify Square Root of 1793
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* List of Perfect Squares