Simplify Square Root of 1760

Here we will show you step-by-step how to simplify the square root of 1760. The square root of 1760 can be written as follows:


	√	1760

The √ symbol is called the radical sign. To simplify the square root of 1760 means to get the simplest radical form of √1760.

Step 1: List Factors
List the factors of 1760 like so:

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 80, 88, 110, 160, 176, 220, 352, 440, 880, 1760

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

1, 4, 16

Step 3: Divide
Divide 1760 by the largest perfect square you found in the previous step:

1760 / 16 = 110

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 1760 in its simplest form:


4	√	110

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Decimal Form
Square Root of 1760 in Decimal form rounded to nearest 5 decimals:

41.95235

Exponent Form
Square Root of 1760 written with Exponent instead of Radical:

1760^½ = 4 x 110^½

Simplify Square Root of 1761
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* List of Perfect Squares