
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 |
Simplify Square Root Calculator
Please enter another Square Root for us to simplify:
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
Copyright | Privacy Policy | Disclaimer | Contact