Find three different irrational numbers between the rational numbers $\frac{1}{4}$ and $\frac{4}{5}$.
We know $\frac{1}{4}=0.25$ and $\frac{4}{5}=0.8$
So, to find three different irrational numbers between $\frac{1}{4}$ and $\frac{4}{5},$ we find three different irrational numbers between $0.25$ and $0.8$ which are non-terminating and non-recurring. Three such numbers are
$0.30300300030000 \ldots$
$0.40400400040000 \ldots$
$0.50500500050000 \ldots$
Find three rational numbers between $\frac{1}{7}$ and $\frac{3}{7}$
For each question, select the proper option from four options given, to make the statement true : (Final answer only)
$\left(5^{-2}\right)^{3}=\ldots \ldots \ldots$
Is $\sqrt{8^{2}+15^{2}}$ a rational number or an irrational number ?
Every rational number is
prove that.
$\left(1^{3}+2^{3}+3^{3}+4^{3}+5^{3}\right)^{\frac{1}{2}}$ $=\left(1^{3}+2^{3}+3^{3}+4^{3}\right)^{\frac{1}{2}}+\left(5^{3}\right)^{\frac{1}{3}}$