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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: Can you add two irrational numbers to get an rational number?
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Can you add irrational number and a rational to get a rational number?

If an irrational number is added to, (or multiplied by) a rational number, the result will always be an irrational number.


Explain why the sum of a rational number and an irrational number is an irrational number?

Let R1 = rational number Let X = irrational number Assume R1 + X = (some rational number) We add -R1 to both sides, and we get: -R1 + x = (some irrational number) + (-R1), thus X = (SIR) + (-R1), which implies that X, an irrational number, is the sum of two rational numbers, which is a contradiction. Thus, the sum of a rational number and an irrational number is always irrational. (Proof by contradiction)


Can you add three irrational numbers to get a rational number?

Yes. sqrt(2), 2*sqrt(2) and -3*sqrt(2).


If you add a rational and irrational number what is the sum?

an irrational number PROOF : Let x be any rational number and y be any irrational number. let us assume that their sum is rational which is ( z ) x + y = z if x is a rational number then ( -x ) will also be a rational number. Therefore, x + y + (-x) = a rational number this implies that y is also rational BUT HERE IS THE CONTRADICTION as we assumed y an irrational number. Hence, our assumption is wrong. This states that x + y is not rational. HENCE PROVEDit will always be irrational.


Give one example for if you add two irrational number and answer should get in rational number?

Suppose A = 2 + sqrt(3) and B = 5 - sqrt(3) Then A and B are two irrational numbers but A + B = 2 + sqrt(3) + 5 - sqrt(3) = 7 which is rational.

Related questions

Can you add three irrational numbers and get a rational number?

no


If you add two irrational numbers do you get an irrational number?

Not necessarily. The sum of two irrational numbers can be rational or irrational.


If three irrational numbers added together is the result irrational number?

You can not add irrational numbers. You can round off irrational numbers and then add them but in the process of rounding off the numbers, you make them rational. Then the sum becomes rational.


Can you add two positive irrational numbers and get a rational number?

no


Can 2 irrational add to an irrational number?

Yes. The sum of two irrational numbers can be rational, or irrational.


Can you add a rational number and an irrational number and get a rational number?

No, the result is always an irrational number. In more advanced math it is possible to add an infinite amount of rational numbers by way of Taylor Series and get an irrational number. This is how numbers like "Pi" and "e" are derived.


Can you add two rational numbers and get an irrational number?

No. The set of rational numbers is closed under addition (and multiplication).


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.


What number do you get when you add an irrational and a rational number?

An irrational number.


Can you add irrational number and a rational to get a rational number?

If an irrational number is added to, (or multiplied by) a rational number, the result will always be an irrational number.


What do you call the numbers that we add?

Rational and Irrational Numbers


Is it true that if you add two irrational numbers you will always get a rational number?

yes

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