How to solve √ 64?

The square root of 64 is a common mathematical problem that can be easily solved. To find the square root of 64, you can follow these steps:

Step 1: Identify the number whose square root you want to find, in this case, it is 64.

Step 2: Take a guess at the square root. In this case, it can be guessed that the square root of 64 is 8.

Step 3: Check if your guess is correct by squaring it. Multiply the guessed square root by itself. If the result is equal to the original number, your guess is correct. In this case, 8 multiplied by 8 equals 64, so the guess is accurate.

Step 4: If your guess is incorrect, try another guess. You can make more educated guesses by considering the factors of the original number. For example, in the case of 64, you could guess that the square root is 4, as it is a factor of 64.

Step 5: Repeat steps 3 and 4 until you find the correct square root. Keep checking your guesses by squaring them until you reach the correct square root.

Therefore, the square root of 64 is 8. By following these steps, you can easily solve the square root of any number including 64.

How do you solve root 64?

In mathematics, solving the square root of a number requires finding the value that, when multiplied by itself, results in the original number. In the case of root 64, we need to find a number that, when multiplied by itself, equals 64.

The square root of 64 is 8, as 8 multiplied by itself equals 64. So, by solving root 64, we can conclude that the answer is 8.

It is important to note that root 64 is a positive number, as square roots are defined only for positive real numbers. Therefore, the answer of 8 is a positive solution to the equation.

How do you simplify √ 64?

So, how do you simplify √ 64?

First, let's remember what the square root is. The square root of a number is a value that, when multiplied by itself, gives the original number. In this case, we want to find the square root of 64.

The first step is to find the factors of 64. Factors are numbers that can be multiplied together to get a certain number. In the case of 64, the factors are 1, 2, 4, 8, 16, 32, and 64.

Now, let's identify the perfect square factors of 64.

A perfect square factor is a number that, when multiplied by itself, gives a perfect square. In the case of 64, the perfect square factors are 1 and 4.

Next, we simplify the square root by taking out the perfect square factor. In this case, we take out the square root of 4, which is 2. So, the simplified square root of 64 is 2 multiplied by the square root of 16.

Finally, let's simplify the square root of 16.

The factors of 16 are 1, 2, 4, 8, and 16. The perfect square factors of 16 are 1 and 4.

Therefore, the simplified square root of 16 is 4. So, when we multiply 2 by 4, we get the final simplified answer. The square root of 64 is 8.

What are all the possible answers of √ 64?

√ 64 is a mathematical expression that represents the square root of 64. The square root of a number is the value that, when multiplied by itself, gives the original number. In the case of 64, the possible answers for its square root are 8 and -8.

The symbol √ is commonly used to represent the square root operation. It is placed before the number to indicate that we want to find the square root of that particular number. In this case, we are looking for the square root of 64.

The number 64 is a perfect square since it can be expressed as the product of two equal factors. In this case, 8 multiplied by 8 gives us 64. Therefore, 8 is one of the possible answers for √ 64.

However, it is important to note that the square root operation can result in both positive and negative values. This means that -8 is also a valid answer for √ 64. When -8 is multiplied by -8, the result is also 64.

It is worth mentioning that in mathematics, the symbol √ is often replaced by the letter "s" in equations to represent the square root operation. Therefore, the equation for the square root of 64 can be written as s(64) = 8 or s(64) = -8.

In conclusion, the two possible answers for √ 64 are 8 and -8. These values represent the numbers that, when squared, result in 64. The square root operation allows us to find the original number from its square, and it is an important concept in mathematics.

What is − 64 √?

− 64 √ represents a mathematical expression involving the square root of -64. In mathematics, the square root of a number is a value that, when multiplied by itself, gives the original number. However, it is important to note that the square root of a negative number is not a real number.

The symbol √, called the radical or radical sign, is used to represent the square root operation. In this case, we are dealing with the square root of -64. This means we are looking for a number that, when squared, will give us -64.

The square root of a negative number is referred to as an imaginary number. Imaginary numbers are denoted by the symbol "i." The value of i is defined as the square root of -1. Therefore, the square root of -64 can be written as 8i.

So, to summarize, the expression − 64 √ represents the square root of -64, which is equal to 8i. It is essential to understand that when dealing with complex numbers, the results may involve both real and imaginary components.