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
For each question, select the proper option from four options given, to make the statement true : (Final answer only)
$0 . \overline{3}=\ldots \ldots . .$
For each question, select the proper option from four options given, to make the statement true : (Final answer only)
$0 . \overline{3}=\ldots \ldots . .$
Represent geometrically numbers on the number line:
$\sqrt{2.3}$
Represent geometrically numbers on the number line:
$\sqrt{2.3}$
Which of the following is equal to $x$?
Which of the following is equal to $x$?
In each of the following numbers rationalise the denominator
$\frac{n^{2}}{\sqrt{m^{2}+n^{2}}+m}$
In each of the following numbers rationalise the denominator
$\frac{n^{2}}{\sqrt{m^{2}+n^{2}}+m}$
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 $\sqrt{5}=2.236$
$\frac{4}{3 \sqrt{3}-2 \sqrt{2}}+\frac{3}{3 \sqrt{3}+2 \sqrt{2}}$
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 $\sqrt{5}=2.236$
$\frac{4}{3 \sqrt{3}-2 \sqrt{2}}+\frac{3}{3 \sqrt{3}+2 \sqrt{2}}$