Simplify Square Root of 1120

Here we will show you step-by-step how to simplify the square root of 1120. The square root of 1120 can be written as follows:


	√	1120

The √ symbol is called the radical sign. To simplify the square root of 1120 means to get the simplest radical form of √1120.

Step 1: List Factors
List the factors of 1120 like so:

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120

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

1, 4, 16

Step 3: Divide
Divide 1120 by the largest perfect square you found in the previous step:

1120 / 16 = 70

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 1120 in its simplest form:


4	√	70

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Decimal Form
Square Root of 1120 in Decimal form rounded to nearest 5 decimals:

33.4664

Exponent Form
Square Root of 1120 written with Exponent instead of Radical:

1120^½ = 4 x 70^½

Simplify Square Root of 1121
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* List of Perfect Squares