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Can multiplying two irrational numbers give you an irrational number?
Wiki User
∙ 2013-02-03 00:51:08
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)
Wiki User
∙ 2013-02-03 00:51:08
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Can an irrational number be a decimal if so give an example?
Irrational numbers are decimal numbers that can't be expressed as fractions. An example is the square root of 2
When multiplying two numbers with different signs the result will be?
Multiplying a positive and negative number will give a negative result. The result is a negative number.
Can you give one example for surd which is not irrational?
It is impossible to have a surd that is not irrational. Surds are defined to be an irrational number (square root of a number).
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 bare 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 countable) it follows that almost all real numbers are irrational.[1]When the ratio of lengths of two line segments is irrational, the line segments are also described as being incommensurable By Paul Philip S. Panis
Give an example of two irrational numbers whose product is not irrational?
(pi) x (1/pi) = 1
How can you prove that 3 plus 2x⁵ is an irrational number where x⁵ is irrational?
1) Adding an irrational number and a rational number will always give you an irrational number. 2) Multiplying an irrational number by a non-zero rational number will always give you an irrational number.
Can an irrational number be a decimal if so give an example?
Irrational numbers are decimal numbers that can't be expressed as fractions. An example is the square root of 2
When multiplying two numbers with different signs the result will be?
Multiplying a positive and negative number will give a negative result. The result is a negative number.
Are irrational numbers closed under subtraction?
No, they are not. An irrational number subtracted from itself will give 0, which is rational.
Is negative 2pi a rational number?
No. The number pi is irrational, and if you multiply an irrational number by a non-zero rational number (in this case, -2), you will get another irrational number.As a general guideline, most calculations that involve irrational numbers will again give you an irrational number.
What is the prime factorization of 2x2x5x7x11?
Actually 2x2x5x7x11 is a prime factorization and on multiplying these numbers we get 1540. Prime factorization of a number is the prime numbers which on multiplying together give that number.
Does an irrational number multiplied by an irrational number equal an irrational number?
The product of two irrational numbers may be rational or irrational. For example, sqrt(2) is irrational, and sqrt(2)*sqrt(2) = 2, a rational number. On the other hand, (2^(1/4)) * (2^(1/4)) = 2^(1/2) = sqrt(2), so here two irrational numbers multiply to give an irrational number.
Is the sum of two irrational number is always irrational?
No. For example, -root(2) + root(2) is zero, which is rational.Note that MOST calculations involving irrational numbers give you an irrational number, but there are a few exceptions.
Can you add an irrational number and a rational number to give an irrational?
No, but you can add an irrational number and a rational number to give an irrational.For example, 1 + pi is irrational.
Can you give me a whole number that is not a rational number?
No, all whole numbers are rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
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 and irrational and yield a rational sum. (Four in this case.) The statement that there are an infinite number of ways of writing any rational number as the sum of two irrational numbers is true. The reason is as follows: If two numbers sum to a rational number then either both numbers are rational or both numbers are irrational. (The proof of this by contradiction is trivial.) Thus, given a rational number, r, then for ANY irrational number, i, the irrational pair (i, r-i) sum to r. So, the statement can actually be strengthened to say that there are an infinite number of ways of writing a rational number as the sum of two irrational numbers.
Give a proof that the square root of 3 is an irrational nu?
It is a prime number that has only factors of itself and one therefore it is an irrational number like all prime numbers are.
