No, 84 is not a perfect square. A perfect square is an integer that can be expressed as the square of another integer – or a number times itself. While 84 can be expressed as the product of two other integers (7 x 12), it is not the result of multiplying an integer by itself, so it cannot be considered a perfect square.
What is a square of 84?
The square of 84 is 7056. To square a number means to multiply it by itself. In the case of 84, when multiplied by 84, the result is 7056. To understand this in the context of multiplication, we can visualize the multiplication of 84 and 84 as 84 rows of 84 (84 x 84 = 7056).
In addition, there are multiple ways to calculate the square of 84. \.
For example, you can use the expanded form of the original number, which would be 80 x 80 + 4 x 4. This can be broken down further and calculated as 6400 + 16, which equals 7056. Another way to determine this is to use the square of a two-digit number as a shortcut.
In this case, the square of 8 must be calculated before multiplying it by 10. By using this method, 8 x 8 would equal 64, then 64 x 10 would equal 640. Finally, adding 4×4 to 640 will equal 7056.
What cubed equals 84?
The answer is 4, as 4 cubed (4 to the power of 3) is equal to 84; that is 4 x 4 x 4 = 84.
What are the factors of 84?
The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84. To find all of the factors of 84, you need to use the division method. This means start with the number 84, and divide it by every number between 1 and 84.
Any number that divides into 84 with a remainder of 0 is a factor. In this case, 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84 are all factors of 84, since none of them leave a remainder when divided into 84.
How many ways can you make 84?
There are many ways to make the number 84. Below are some examples of the different ways eighty-four (84) can be made:
Addition:
• You can add multiple numbers together to form 84, such as 40 + 20 + 24 = 84
• You can add a larger number and a smaller number together, such as 500 + (-416) = 84
Subtraction:
• You can subtract multiple numbers from 84, such as 84 – 12 – 26 = 46
• You can subtract a larger number from a smaller number, such as 84 – 90 = -6
Multiplication:
• You can multiply multiple numbers together to form 84, such as 4 x 7 x 6 = 168
• You can multiply a larger number and a smaller number together, such as 12 x 7 = 84
Division:
• You can divide 84 by multiple numbers, such as 84 / 7 = 12
• You can divide a larger number by a smaller number, such as 126 / 1.5 = 84
If you combine any of the calculations above, you can create different combinations to make 84, such as (500 + (-416)) x 7 = 84.
There are also various ways of writing equations that equate to 84, such as 2x + 3y = 84 or 3a – 5b = 84.
Overall, there are many ways to make the number 84 using addition, subtraction, multiplication, and division.
How do you simplify the square root of 84?
The square root of 84 can be simplified by first finding the prime factorization of 84. 84 = 2 × 2 × 3 × 7. Then, the square root of 84 can be simplified further by taking the square root of each of the prime factors, which can be written as `sqrt(2^2) × sqrt(3) × sqrt(7)`.
This simplifies to `2sqrt(3) × sqrt(7)`.
How do you cube root 84?
To find the cube root of 84, you will need to use a process called ‘factoring’. This process involves breaking the number down into its prime factors and finding the cubed value for each. Prime factors for 84 are 2 x 2 x 3 x 7.
To find the cube root, you will need to find the cubed value for each prime number: (2 x 2 x 2) x (3 x 3 x 3) x (7 x 7 x 7) = (8) x (27) x (343). The cube root of 84 is therefore 8.
What can go into 85?
Eighty-five can contain a variety of things depending on the context in which it is used. It is an integer number and can be used in mathematical operations and equations. Additionally, it is a common denomination for currency, such as cents for US Dollars or pounds for British Pound Sterling.
It can also contain items or quantifiable measures such as ingredients, hours of work, or items on a grocery list. Specific items may contain 85 pieces, such as a jigsaw puzzle or pack of cards. It can also represent a quantity or size, such as 85 fluid ounces, or 85 milliliters.
Eighty-five can also be used to represent specific dates such as the year 1985 or even expressions such as 85 mph for speed.
What two numbers make 85?
The two numbers that can be added to make 85 are 42 and 43. These two numbers are the two consecutive integers closest to 85, so they can be added together to make 85.
Is 84 squared a irrational number?
No, 84 squared (7,396) is not an irrational number; it is a rational number, which means that it can be expressed as a fraction, in this case 42/1, where 42 and 1 are both integers (whole numbers).
How do you tell if a number is irrational?
An irrational number is one that cannot be expressed as a fraction or a ratio of two integers, and it cannot be written as a repeating or terminating decimal. To tell if a number is irrational, you can plug the number into the calculator and observe if the decimal expansion goes on forever or if it is a repeating decimal.
If the number does not contain a terminating or repeating decimal, it is most likely irrational. Another way to check for certainty is to see if the number can be written as a ratio or a fraction; if it cannot, it is irrational.
Can irrational numbers be negative?
Yes, irrational numbers can be negative. Irrational numbers refer to any real number that cannot be written as a simple fraction, such as π, √2, e, etc. Since irrational numbers are real numbers, they also include numbers on the negative side of the number line.
It is also possible for irrational numbers to be expressed as negative fractions with different denominators. For example, √5 can be expressed as -5/2.
Can negative numbers be rational?
Yes, negative numbers can be rational. A rational number is any number that can be expressed as a ratio, or fraction, of two integers. This means that the number must have a numerator and a denominator (with the denominator not equalling zero).
A negative number is any number that is less than zero. Because a negative number can still be written as a fraction (for example, -3 can be written as -3/1), it qualifies as a rational number.
