Answer:
B. The product of two irrational numbers can be rational or irrational.
Step-by-step explanation:
An irrational number is a number that is real and it cannot be written or expressed as a fraction.
For example , 2√3, √5 are irrational numbers.
A rational number is a number that is real and can be expressed as a fraction. It is a whole number. For example: 5, 7 are rational numbers
In the above question, we are a pair of rational and irrational number, 2 irrational numbers and we are asked to draw conclusions from their product
a) √2•√2 = √2 × √2 = √4 = 2 = rational number
b) √5•√7 = √5 × √7 = √35 = Irrational number
c) √2•18 = √2 × 18 = 18√2 = Irrational number
d) √2•√6 = √2 × √6 = √12 = Irrational number.
My conclusion from the above results is option B, which states that
B. The product of two irrational numbers can be rational or irrational.
The product of two irrational numbers can be rational or irrational
