"The product of two irrational numbers is SOMETIMES irrational." The product of two irrational numbers, in some cases, will be irrational. However, it is possible that some irrational numbers may multiply to form a rational product
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Root 2 * root 2 = 2
yes, √2 +√2 = what √2√2
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no according to the rationalization laws
sum , product of any rational no. is always a rational no.
but tge sum or product of two irrational no.s is not always irrational...
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no because as we know √3 and,√2 are irrational numbers and their product is 6 so 6 is an rational number
no it is not always true as for same irrational numbers like root 2.
here root 2×root2 is root4 which is equal to 2 and that's a rational no.
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No, Not at all.
Because the product two irrational numbers is not always irrational.
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.
no, the product of two irrational numbers need not to be irrational.
lets take √3 ×√3= 9
we know that 9 is an rational number
lets take √3×√2 = √6
we know that √6 is an irrational number
therefore, the product of two irrational numbers may be rational or irrational.
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so product=✓2*✓2=2 which is a rational.
on the other hand ,
so pprodut=✓2*✓3=✓6 which is a iraational
so we cannot say that product of two irrationals always irrational
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