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emmasim [6.3K]
3 years ago
9

The product of a rational number and an irrational number is _[blank]_ an irrational number.

Mathematics
2 answers:
crimeas [40]3 years ago
5 0
Always for 1st qn



sometimes for 2nd qn
yanalaym [24]3 years ago
4 0

Answer:

1.a: Always

2.a:sometimes

Step-by-step explanation:

a.We have to fill correctly word in the blank

Suppose we have a=2 and b=\sqrt2

Then , product of a and b=2\times \sqrt2=2\sqrt2

Product of rational number and irrational number is always an irrational number .

Therefore, option a is true

a: Always

b.We are given that product of two irrational numbers

Suppose, a=\sqrt3

b=4\sqrt3[/tex]

Product of a and b=\sqrt3\times 4\sqrt3=12

12 is a rational number .

If a=\sqrt2,b=\sqrt3

Product of a and b=\sqrt2\times \sqrt3=\sqrt6

Hence, product of  two irrational numbers is sometimes irrational number not always.

Option a is true

A:sometimes

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