Home
Class 12
MATHS
Which of the following conditions imply ...

Which of the following conditions imply that the real number x is rational ?
`(i) x^(1//2)"is rational"" "(ii) x^(2)and x^(5) "are rational"" "(iii) x^(2)and x^(4)"are rational"`

A

I and II only

B

I and II only

C

II and III only

D

I,II and III

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Which of the following conditions necessarily imply that the real number x is rational, I x^2 is rational II x^3 and x^5 are rational III x^2 and x^3 are rational

Which of the following conditions necessarily imply that the real number x is rational, I x^2 is rational II x^3 and x^5 are rational III x^2 and x^3 are rational

Show that x is rational if : x^(2)=16

Which of the following are examples of empty set? {x : x^2-2=0\ a n d\ x is rational }

Show that x is rational if : x^(2)=0.0004

Show that x is rational if : x^(2)= 1(7)/(9)

The multiplication of a rational number 'x' and an irrational number 'y' is

If f(x)={x ,x is rational 1-x ,x is irrational ,then f(f(x)) is

Are the following pairs of statements negations of each other: (i) The number x is not a rational number. The number x is not an irrational number. (ii) The number x is a rational number. The number x is an irrational number.

Are the following pairs of statements negations of each other:(i) The number x is not a rational number. The number x is not an irrational number.(ii) The number x is a rational number. The number x is an irrational number.