Classify the following numbers as rational or irrational with justification:
$(i)$ $0.5918$
$(ii)$ $(1+\sqrt{5})-(4+\sqrt{5})$
Classify the following numbers as rational or irrational with justification:
$(i)$ $0.5918$
$(ii)$ $(1+\sqrt{5})-(4+\sqrt{5})$
$(i)$ $0.5918$ is a terminating decimal expansion. Hence, it is rational number.
$(ii)$ $(1+\sqrt{5})-(4+\sqrt{5})=-3,$ which is a rational number.
Similar Questions
Find the values of $a$ and $b$ in each of the following:
$\frac{7+\sqrt{5}}{7-\sqrt{5}}-\frac{7-\sqrt{5}}{7+\sqrt{5}}=a+\frac{7}{11} \sqrt{5} b$
Find the values of $a$ and $b$ in each of the following:
$\frac{7+\sqrt{5}}{7-\sqrt{5}}-\frac{7-\sqrt{5}}{7+\sqrt{5}}=a+\frac{7}{11} \sqrt{5} b$
Simplify the following:
$\frac{\sqrt{24}}{8}+\frac{\sqrt{54}}{9}$
Simplify the following:
$\frac{\sqrt{24}}{8}+\frac{\sqrt{54}}{9}$
Represent $\sqrt{5}$ on the number line.
Represent $\sqrt{5}$ on the number line.
Rationalise the denominator in each of the following
$\frac{1}{\sqrt{5}-\sqrt{3}}$
Rationalise the denominator in each of the following
$\frac{1}{\sqrt{5}-\sqrt{3}}$
The product of any two irrational numbers is
The product of any two irrational numbers is