Question

which of the following irrational numbers, has sum and product of them is rational number √3 + 5 and √3 - 5 √3 + √5 and √3 - √5 5 + √3 and 5 - √3 All the above

Answer 1

Answer:

Step-by-step explanation:

i.√3+5 and √3-5

Sum =√3+5+√3-5=2√3 (irrational)

ii.√3+√5 and√3-√5

Sum=√3+√5+√3-√5=2√3(irrational)

iii. 5+√3 and 5-√3

Sum =5+√3+5-√3=10(rational)

Product=(5+√3)(5-√3)

=5²-(√3)²=25-3=22(rational)

So option (iii)is the correct answer.

Thank you