Question

Is the product of two irrational always irrational? Justify your answer

Answer 1

Step-by-step explanation:

It's 'sometimes' irrational

As u can see √4=2, √2×√3

Answer 2

Answer:

No, Not at all.

Step-by-step explanation:

Because the product two irrational numbers is not always irrational.

For example,

Ex: (1) √2 × √2 = 2

here √2 is irrational but their product is a rational number

2) (√2 + 1) × (√2 - 1)

  => (√2)² - (1)²

  => 2 - 1 = 1

here also, (√2 + 1) & (√2 - 1) is irrational numbers but their product is a rational number.