Simplify Square Root of 5780




Here we will show you step-by-step how to simplify the square root of 5780. The square root of 5780 can be written as follows:
     
  5780  

The √ symbol is called the radical sign. To simplify the square root of 5780 means to get the simplest radical form of √5780.

Step 1: List Factors
List the factors of 5780 like so:

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 289, 340, 578, 1156, 1445, 2890, 5780

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

1, 4, 289, 1156

Step 3: Divide
Divide 5780 by the largest perfect square you found in the previous step:

5780 / 1156 = 5

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

√1156 = 34

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5780 in its simplest form:
     
34 5  


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Decimal Form
Square Root of 5780 in Decimal form rounded to nearest 5 decimals:

76.02631

Exponent Form
Square Root of 5780 written with Exponent instead of Radical:

5780½ = 34 x 5½

Simplify Square Root of 5781
The answer to Simplify Square Root of 5780 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares




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