If -a is an irrational number- what is a-

The correct option is A RationalConsider the given irrational number √(a) , #10; #10;Definition #160;of #10;rational number which number can be ...

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Standard IX

Mathematics

Irrational Numbers

If √a is an...

Question

If $\sqrt{a}$ is an irrational number, what is a?

Rational

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Irrational

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Solution

The correct option is A Rational
Consider the given irrational number $\sqrt{a}$ ,

Definition of rational number- which number can be write in the form of $\frac{p}{q}$ but $q \neq 0$ is called rational number.

Hence, $a = \frac{a}{1}$

That why $a$ is rational number

Hence, this is the answer.

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Similar questions

Which of the following is a true statement ?

(a) The sum of two irrational numbers is an irrational number.

(b) The product of two irrational numbers is an irrational number.

(d) Every real number is either rational or irrational.

If x is a positive real number , then there exists an irrational number y such that

State, in each case, whether the given statement is true or false.

(i) The sum of two rational numbers is rational.

(ii) The sum of two irrational numbers is irrational.

(iii) The product of two rational numbers is rational.

(iv) The product of two irrational numbers is irrational.

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

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

(vii) Every real number is rational.

(viii) Every real number is either rational or irrational.

(ix) $π$ is irrational and $\frac{22}{7}$ is rational.

State whether the following statements are true or false. Justify your answers.

(i) Every irrational number is a real number.

(ii) Every point on the number line is of the form $\sqrt{m},$ where $^{'} m^{'}$ is a natural number.

(iii) Every real number is an irrational number.

Q. For real number

x

and

y

, define a relation

R_{x}, R_{y}

, if and only if

x - y + \sqrt{2}

is an irrational number. Then the relation

R

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If √a is an irrational number, what is a?

The correct option is A RationalConsider the given irrational number√a , Definition of rational number- which number can be write in the form of pq but q≠0 is called rational number. Hence, a=a1 That why a is rational number Hence, this is the answer.

If $\sqrt{a}$ is an irrational number, what is a?

The correct option is A Rational
Consider the given irrational number $\sqrt{a}$ ,

Definition of rational number- which number can be write in the form of $\frac{p}{q}$ but $q \neq 0$ is called rational number.

Hence, $a = \frac{a}{1}$

That why $a$ is rational number

Hence, this is the answer.