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example of irrational numbers:
π, √ 2, √ 3 , 22/7, Euler’s Number e,

Sum and Product of Two Irrational Numbers

Statement: Sum and the product of two irrational numbers is sometimes rational or irrational.

56.

√2 is an irrational number, but when √2 is added to √2, we get the result 2√2 , which is a irrational number
sqrt(2)+(-sqrt(2) )=0 which is a rational number

57.
√2 is an irrational number, but when √2 is multiplied by √2, we get the result 2, which is a rational number
π is an irrational number, but if π is multiplied by π, the result is π^2, which is also an irrational number

58.
√2 is an irrational number, but when √2 is divided to √2, we get the result √2/√2 =1, which is a rational number
√21/π is an an irrational number

<blockquote data-quote="MathLover1" data-source="post: 1102632" data-attributes="member: 280">example of irrational numbers:π, √ 2, √ 3 , 22/7, Euler’s Number e,Sum and Product of Two Irrational NumbersStatement: Sum and the product of two irrational numbers is sometimes rational or irrational.56.&nbsp;√2 is an irrational number, but when √2&nbsp; is added to √2, we get the result 2√2 , which is a irrational numbersqrt(2)+(-sqrt(2) )=0&nbsp; which is a rational number57.&nbsp;√2 is an irrational number, but when √2&nbsp; is multiplied by √2, we get the result 2, which is a rational numberπ is&nbsp; an irrational number, but if π is multiplied by π, the result is π^2, which is also an irrational number58.√2 is an irrational number, but when √2&nbsp; is divided to √2, we get the result √2/√2 =1, which is a rational number√21/π&nbsp; is an an irrational number</blockquote>

[QUOTE="MathLover1, post: 1102632, member: 280"] example of irrational numbers: π, √ 2, √ 3 , 22/7, Euler’s Number [B]e,[/B] [B] [B]Sum and Product of Two Irrational Numbers[/B] [B]Statement: [B]Sum and[/B] t[/B]he product of two irrational numbers is sometimes rational or irrational. 56. √2 is an irrational number, but when √2 is added to √2, we get the result 2[B]√2 [/B], which is a irrational number sqrt(2)+(-sqrt(2) )=0 [B]which is a rational number[/B] [B][/B] 57. √2 is an irrational number, but when √2 is multiplied by √2, we get the result 2, which is a rational number π is an irrational number, but if π is multiplied by π, the result is π^2, which is also an irrational number 58. [B]√2 is an irrational number, but when √2 is divided to √2, we get the result [B]√2/√2 =1[/B], which is a rational number[/B] √21/π is an [B]an irrational number[/B][/B] [/QUOTE]