# Can multiplying two irrational numbers give you an irrational number?

Yes. For example, the square root of 3 (an irrational number) times the square root of 2(an irrational number) gets you the square root of 6(an irrational number)

### Can you add two irrational numbers to get a rational number?

Yes Yes, the sum of two irrational numbers can be rational. A simple example is adding sqrt{2} and -sqrt{2}, both of which are irrational and sum to give the rational number 0. In fact, any rational number can be written as the sum of two irrational numbers in an infinite number of ways. Another example would be the sum of the following irrational quantities [2 + sqrt(2)] and [2 - sqrt(2)]. Both quantities are positive…

### Define and give example of irrational numbers?

an irrational number is any real number that cannot be expressed as a ratio a/b, where a and b are integers, with b nonzero, and is therefore not a rational number. Informally, this means that an irrational number cannot be represented as a simple fraction. Irrational numbers are those real numbers that cannot be represented as terminating or repeating decimals. As a consequence of Cantor's proof that the real numbers are uncountable (and the rationals…

### What numbers are subsets of real numbers that is not a subset of rational numbers and irrational numbers?

sounds like a trick question but By Definition Real Numbers are All Rational and Irrational numbers. They can also be positive, negative or zero. Includes the Algebraic Numbers and Transcendental Numbers. A simple way to think about the Real Numbers is: any point anywhere on the number line (not just the whole numbers). So theoretically there are no subsets from rational or irrational however there would be a subset of numbers that could be included…

### How do you multiply a negative number by a positive number?

You multiply the numbers just like you would normally except that the product will have a negative sign. Example: -6 X 5 = -30. When you multiply a negative number and a positive number, the product will always be negative. Multiplying two positive numbers or two negative numbers will give you positive products.

### What are examples of irrational numbers?

An example is the square root of a number. Ex: square root of 2. This is 1 example, not the main one. Any cube root or square root which doesn't give a perfect number is an irrational number. Ex; square root and cube root of 5, since their answer will be 2.24 and 1.70 which are not perfect numbers like square roots of 25 and 64 or cube roots of 27 and 216.

### How do you multiply 3 digit numbers with 2 digit numbers?

If multiplying 3 digit numbers with 2 digit numbers. For example; 345 x 92= First you will start with 2 by multiplying it by 5 then carry the 1 above the 4 then multiply the "2" with 4 then add the number on-top of the 4 which is 1 and it will give you 9. 4 x 2= 8+1=9. Then times the 2 by 3 which is 6. That is not your answer, yet. 690…

### Give an example of a square root that is not a rational number?

The square root of 2 is irrational because it cannot be expressed as a fraction in which the numerator and denominator are both integers. Another way of saying this is that the square root of 2 will have infinite decimal places in any a number system of any radix (base 10, base 2, base 3, base 16, etc) This should not be confused with imaginary numbers. Rational and Irrational numbers together combine to make the…

### Are the square roots of all positive integers are irrational?

It might seems like it, but actually no. Proof: sqrt(0) = 0 (0 is an integer, not a irrational number) sqrt(1) = 1 (1 is an integer, not irrational) sqrt(2) = irrational sqrt(3) = irrational sqrt(4) = 2 (integer) As you can see, there are more than 1 square root of a positive integer that yields an integer, not a irrational. While most of the sqrts give irrational numbers as answers, perfect squares will always…