State whether true or false:
The square of an irrational number is always rational.

True

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False

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Solution

The correct option is B False
False,as ${(\sqrt[4]{2})}^{2} = \sqrt{2}$ which is not a rational number.

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Similar questions

Square root of a rational number is also a rational number. State whether true or false.

State whether the given statement is ture or false.

(i) The sum of two rationals is always rational.

(ii) The product of two rationals is always rational.

(iii) The sum of two irrationals is always an irrational.

(iv) The product of of two irrationals is always an irrational.

(v) The sum of a rational and an irrational is irrational.

(vi) The product of a rational and an irrational is irrational.

Question 55

State whether the given statement is True or False.

Sum of two rational numbers is always a rational number.

$\sqrt[4]{5}$ is an irrational number. State whether true or false.

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