Give an example to show that the product of two irrational numbers may be a rational number.
Answers
Answer:
Consider the two numbers are √2 and √2
Their product is 2
So we can say that the product of two irrational numbers may be a rational number
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Step-by-step explanation:
Correct option is
A
4+
5
,−
5
Consider option A.
The number are 4+
5
and −
5
.
Their sum (4+
5
)+(−
5
)
=4+
5
−
5
=4, which is a rational number.
Consider option B.
The number are 4+
5
and
5
.
Their sum (4+
5
)+(
5
)
=4+2
5
, which is an irrational number.
Consider option C.
The number are 4−
5
and −
5
.
Their sum (4−
5
)+(−
5
)
=4−2
5
, which is an irrational number.
Consider option D.
The number are 2+
5
and 2+
5
.
Their sum =2+
5
+2+
5
=4+2
5, which is an irrational number.
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