Question

Find each product. Then determine which conclusion can be drawn based on the results.

Answer 1

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.