State whether the following statements are true or false? Justify your answer.
$\frac{\sqrt{15}}{\sqrt{3}}$ is written in the form $\frac{p}{q},$ where $q \neq 0$ so it is a rational number.
State whether the following statements are true or false? Justify your answer.
$\frac{\sqrt{15}}{\sqrt{3}}$ is written in the form $\frac{p}{q},$ where $q \neq 0$ so it is a rational number.
The given statement is false. $\frac{\sqrt{15}}{\sqrt{3}}=\sqrt{\frac{15}{3}}=\sqrt{5}=\frac{\sqrt{5}}{1},$ where $p=\sqrt{5}$ is irrational number.
Similar Questions
Between two rational numbers
Between two rational numbers
Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ :
$0.1 \overline{134}$
Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ :
$0.1 \overline{134}$
Write the following in decimal form and state what kind of decimal expansion each has
$\frac{2}{11}$
Write the following in decimal form and state what kind of decimal expansion each has
$\frac{2}{11}$
Fill in the blanks so as to make each of the following statements true (Final answer only)
$\sqrt{49}=\ldots \ldots$
Fill in the blanks so as to make each of the following statements true (Final answer only)
$\sqrt{49}=\ldots \ldots$
If $\frac{2 \sqrt{6}-\sqrt{5}}{3 \sqrt{5}-2 \sqrt{6}}=a+b \sqrt{30},$ find the value of $a$ and $b$.
If $\frac{2 \sqrt{6}-\sqrt{5}}{3 \sqrt{5}-2 \sqrt{6}}=a+b \sqrt{30},$ find the value of $a$ and $b$.