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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

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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 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.

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.

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.

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.

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

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