Question

give an example for the following 1)product is an irrational number
2)product is a rational number
3)quotient is a rational number
4)Quotient is an irrational number​

Answer 1

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Two irrational numbers whose

 (i) sum is rational are

10 + 2√5 and 5 - 2√5 

Checking:

Sum of these two irrational numbers = 10 + 2√5 and 5 - 2√5 = 15 (a rational number)

(ii)  product is rational are

10 + 2√5 and 10 - 2√5 

Checking:

Product of these two irrational numbers

                    = (10 + 2√5) (10 - 2√5)

                    = (10)2 -  (2√5)2 

                    = 100 - 20 = 80 (a rational number)

(iii)  quotient is rational are

                 10√5 and 5√5 

Checking:

Quotient of these two irrational numbers = 

                 (10√5)/(5√5) = 2 (a rational number)

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Answer 2

Answer:

hey mate your answer is...

1. 22/7 mulyiply 1 =22/7
2. 2 multiply 3 =6
3. 15/5 = 3
4. $\sqrt{2 \: \div 1 = 1}$