On every point on the number line, the line is of the form under root where a is a natural no. Is this statement true or false? How? Justify

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Solution

False Justification - A number line may have negative or positive number. Since, no negative can be the square root of a natural number, thus every point the number line cannot be in the form of class nine math number system 34, where m is a natural number.

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\sqrt{a}

Question 1 (ii)
State whether the following statement is true or false. Justify your answer.

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

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

(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.

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.

Every point on the number line is of the form $\sqrt{m},$ where m is a natural number. State true or false

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