State whether the following statements are true or false? Justify your answer.
$(i)$ $\frac{\sqrt{2}}{3}$ is a rational number.
$(ii)$ There are infinitely many integers between any two integers.
State whether the following statements are true or false? Justify your answer.
$(i)$ $\frac{\sqrt{2}}{3}$ is a rational number.
$(ii)$ There are infinitely many integers between any two integers.
$(i)$ The given statement is false. $\frac{\sqrt{2}}{3}$ is of the form $\frac{p}{q}$ but $p=\sqrt{2}$ is not an integer.
$(ii)$ The given statement is false. Consider two integers $3$ and $4 .$ There is no integers between $3$ and $4 .$
Similar Questions
Fill in the blanks so as to make each of the following statements true (Final answer only)
$(729)^{\frac{1}{3}}=\ldots \ldots$
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$(729)^{\frac{1}{3}}=\ldots \ldots$
For each question, select the proper option from four options given, to make the statement true : (Final answer only)
The rationalising factor of $4-\sqrt{5}$ is...........
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The rationalising factor of $4-\sqrt{5}$ is...........
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Find the values of each of the following correct to three places of decimals, rationalising the denominator if needed and taking $\sqrt{2}=1.414$ $\sqrt{3}=1.732$ and $\sqrt{5}=2.236$
$\frac{\sqrt{2}}{2+\sqrt{2}}$
Find the values of each of the following correct to three places of decimals, rationalising the denominator if needed and taking $\sqrt{2}=1.414$ $\sqrt{3}=1.732$ and $\sqrt{5}=2.236$
$\frac{\sqrt{2}}{2+\sqrt{2}}$
State whether the following statements are true or false
Every whole number is a rational number.
State whether the following statements are true or false
Every whole number is a rational number.