Q. 83.7( 3 Votes )

Which of th A. (ii), (iii) and (iv)

B. (i), (ii) and (iv)

C. (i), (ii) and (iii)

D. (i), (iii) and (iv)

Answer :

i.√(2 + √3 ) is irrational √3 is irrational and 2 is rational and sum of a rational and irrational number is always irrational. Hence 2 + √3 is irrational. Hence, its square root is also irrational.


ii.√(4 + √25) is rational √25( = 5) is rational and 4 is also rational.


Hence, √(4 + 5) = √9 = 3 is rational.


iii. (5 + √7) is irrational √7 is irrational and 5 is rational and sum of a rational and irrational number is always irrational. Hence 5 + √7 is irrational. Hence, its cube root is also irrational.


iv.√(8-8 ) is irrational. Here both ( = 2) and 8 are rational. Hence


8 – 81/3 = 8 – 2 = 6 is rational. But √6 is irrational.


Hence, the answer.

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