For a given positive number N to be a perfect square, it must satisfy S2 = N, where S is another positive number. Similarly, C3 = N for a perfect cube. Thus, if N is a 6th power, then this would certainly work. Consider that N is a number that satisfies N = S2 = C3.

Since 6859 is a whole number, it is a perfect cube. The nearest previous perfect cube is 5832 and the nearest next perfect cube is 8000 . 6859 is said to be a perfect cube because 19 x 19 x 19 is equal to 6859.

A: No, the number 6,859 is not a perfect square.

We will divide this number by the lowest possible natural number, then whatsoever the quotient will remain, we will see by which number that number will get divisible. In this way, we will divide till we get the quotient as 1. Hence, we have found the cube root of 6859 as 19.

729 is a perfect square number which is obtained by square of 27. Hence, the square root of 729 is a rational number….Square Root of 729.

First, 9 x 9 = 81. 9 x 81 = 729, is the product of two squares, so it is also a square. You can also write it as 729 = 9 x 9 x 9, making it a cube. Therefore the answer to the challenge is 729.

Answer. 125 and 64 is the both a perfect square and a perfect cube.

Explanation: 64 is a perfect square and a perfect cube. Because , any number to the twelfth power is a perfect square or a perfect cube. Example: 0,1 and 4,096.

If a variable with an exponent has an even exponent then it is a perfect square. To get the square root, we simply divide the exponent by 2. For example x8 is a perfect square, its square root is x4 . For example x9 is a perfect cube, its cube root is x3 .

The factors of 12 are 1, 2, 3, 4, 6, and 12, because each of those divides 12 without leaving a remainder (or, alternatively, each of those is a counting number that can be multiplied by another counting number to make 12).

The cube root of 6859 is 19 because 19 × 19 × 19 = 6859.

An easy way to write 3 cubed is 33. This means three multiplied by itself three times. The easiest way to do this calculation is to do the first multiplication (3×3) and then to multiply your answer by the same number you started with; 3 x 3 x 3 = 9 x 3 = 27.

In other words, a cube root calculator finds the value that, when multiplied by itself 3 times, gives the number you started with. For example, the cube root of 125 is 5, because 5 times 5 times 5 equals 125.

This problem asks question “what number times itself 3 times equals 27?” Well, if you take 3 times 3 times 3, that equals 27. Therefore the cube (3rd) root of 27 equals 3.

3/4

Steps to simplifying fractions

1. Find the GCD (or HCF) of numerator and denominator. GCD of 9 and 16 is 1.
2. 9 ÷ 116 ÷ 1.
3. Reduced fraction: 916. Therefore, 9/16 simplified to lowest terms is 9/16.

3664 is equivalent to 916 because 36 x 16 = 64 x 9 = 576.

The square roots of the perfect squares (0, 1, 4, 9, 16, etc.) are integers. In all other cases, the square roots of positive integers are irrational numbers, and therefore their decimal representations are non-repeating decimals. Hence, 9 is a rational number.

No, the square root of negative 16 is not a rational number.

Answer and Explanation: The square root of 31, denoted √(31), is an irrational number.

Since 31 is not a perfect square, it is an irrational number. This means that the answer to “the square root of 31?” will have an infinite number of decimals. The decimals will not terminate and you cannot make it into an exact fraction.

-9/3 is a rational number since it is a fraction of two integers.

Any decimal number that is repeating can be written in the form with b not equal to zero, so they are rational numbers. The short answer is yes, 0.6 repeating is a rational number.

The numbers 1/2, -4/5, 76/23, -86/87, 8 (because it can be expressed as 8/1) and 0 (even though it is neither positive or negative) are examples of rational numbers. Other numbers such as 0.500, -3.25, 41/11 (which is 3.727272… Irrational Numbers are numbers that cannot be expressed as the quotients of two integers.

Explanation: A rational number can be represented by ab where a and b are integers. −325 and 100 are integers. Therefore -3.25# is rational.

Sometimes we use the symbol Ø to represent no solutions. That symbol means “empty set” which means that the set of all answers is empty. In other words, there is no answer.

13 is a rational number, being a number of the form pq where p and q are integers and q≠0 .

The number 3/5 is a rational number. It is a fraction that is made from two integers, 3 and 5.