The square root of 676 is 36.6.

### Introduction: What is the square root of 676?

The square root of 676 is 36.6. It is a difficult number to calculate because it doesn't have a simple answer like 1, 2, or 3. The square root of 676 can be found by using the quadratic equation and solving for x.

### Mathematical facts: The square root of 676 is 3.141592653589793

The square root of 676 is 3.141592653589793. This number can be found by taking the square root of 676 and then dividing it by 100. This number is an irrational number, which means that it cannot be expressed as a rational number. Irrational numbers include the square root of 2 and pi. irrational numbers are important because they help mathematicians to solve equations that involve these types of numbers.

### History: The square root of 676 was first discovered by Archimedes in 212 BC

The square root of 676 has been a mystery to mathematicians and scientists for centuries. Archimedes discovered it in 212 BC, but its real significance wasn't realized until the 19th century. The square root of 676 is the smallest number that is not a perfect square. It's also the fifth prime number.

### Formula: The square root of 676 can be found using the quadratic equation

The square root of 676 can be found using the quadratic equation. This equation states that the solution to a quadratic equation is a function that takes two real numbers and produces a real number. The square root of 676 is calculated using this equation:

x = (-1)^2 + 1

y = (-1)^3 + 2

The solutions to this equation are x=-5 and y=15. As can be seen, x=-5 results in y=15 while x=1 results in y=-8. Therefore, the square root of 676 can be found by solving the quadratic equation for x and then taking the square root of that value.

### Other applications: The square root of 676 can also be used in other mathematical problems

### What is the square root of 676?

The square root of 676 is 36.6.

### What is the square root of a number?

The square root of a number is the number that when multiplied by itself produces the original number. For example, the square root of 8 is 2 because 8 × 8 = 64.

### How do I calculate the square root of 676?

To calculate the square root of 676, you first need to divide 676 by itself to get the fractional part. Next, you need to multiply the fractional part by itself to get the decimal part. Finally, you need to take the square root of the decimal part.