Out of the fallowing irrationals, which has sum and product both rationales?
(a) √3 +5 and √3 – 5
(b) √3 + √5 and √3 – √5
(c) 5+√3 and 5 -√3
(d) all of these

Question

Out of the fallowing irrationals, which has sum and product both rationales? (a) √3 +5 and √3 - 5 (b) √3 + √5 and √3 - √5 (c) 5+√3 and 5 -√3 (d) all of these​

Isabella · Answer

Answer:     (c) 5+√3 and 5 -√3     Step-by-step explanation:   (c)                5+√3 and 5 -√3                            •     Sum     =     5+√3   +     5 -√3                               =     5     +     5     +     √3     -     √3                            =      10      ,     is     a     rational     number  .                         •        Product     =     (  5     +     √3  )  (  5     -     √3  )                            =     5  ²     -     (  √3  )  ²                               =     25     -     3                         =      22      ,     is     a     rational     number  .

Luna

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1 thought on “Out of the fallowing irrationals, which has sum and product both rationales?<br />(a) √3 +5 and √3 – 5<br />(b) √3 + √5 and √3 – √”

(c) 5+√3 and 5 -√3

= 10 , is a rational number.

= 22 , is a rational number.

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Out of the fallowing irrationals, which has sum and product both rationales?(a) √3 +5 and √3 – 5(b) √3 + √5 and √3 – √