prove that.
$\left(1^{3}+2^{3}+3^{3}+4^{3}+5^{3}\right)^{\frac{1}{2}}$ $=\left(1^{3}+2^{3}+3^{3}+4^{3}\right)^{\frac{1}{2}}+\left(5^{3}\right)^{\frac{1}{3}}$
Find the value
$625^{\frac{3}{4}}$
Which type of number is number $\pi-$ rational or irrational?
Simplify:
$64^{-\frac{1}{3}} + 64^{\frac{1}{3}} - 64^{\frac{2}{3}}$
Let $x$ be rational and $y$ be irrational. Is xy necessarily irrational? Justify your answer by an example.
Represent $3 . \overline{42}$ on the number line, using successive magnification, up to $4$ decimal places.