Home
Class 9
MATHS
There is a number x such that x^(2) is...

There is a number `x` such that `x^(2)` is irrational but `x^(4)` is rational. Then, `x` can be

A

`sqrt(5)`

B

`sqrt(2)`

C

`""^(3)sqrt(2)`

D

`""^(4) sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • NUMBER SYSTEMS

    RS AGGARWAL|Exercise ASSERTION -AND- REASON TYPE|4 Videos

  • NUMBER SYSTEMS

    RS AGGARWAL|Exercise MATCHING OF COLUMNS|2 Videos

  • NUMBER SYSTEMS

    RS AGGARWAL|Exercise Exercise 1G|18 Videos

  • MEAN , MEDIAN AND MODE OF UNGROUPED DATA

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|18 Videos

  • POLYNOMIALS

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|32 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=[x^(2) if x is irrational,1 if x is rational then

Given an example of number x such that x is an irrational number and x^(3) is a rational number .

if (log)_a x=b for permissible values of a and x then identify the statements which can be correct. (a) If a and b are two irrational numbers then x can be rational (b) if a is rational and b is irrational, then x can be rational (c) if a is irrational and b is rational, then x can be rational (d) If a and b are two rational numbers then x can be rational .

If (log)_a x=b for permissible values of a and x , then identify the statement(s) which can be correct. (a)If a and b are two irrational numbers, then x can be rational. (b)If a is rational and b is irrational, then x can be rational. (c)If a is irrational and b is rational, then x can be rational. (d)if aa n d b are rational, then x can be 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

The function f(x)={0,x is irrational and 1,x is rational,is

Determine whether the argument used to check the validity of the following statement is correct. p : If x^(2) is irrational , then x is rational. The statement is true because:- Number x^2=pi^2 is irrational therefore x=pi irrational.

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

(x+y)/(2) is a rational number.

If f(x)={x^(2) if x is rational and 0, if x is irrational }, then