Question

a. \(\frac{1}{1x2}\)+\(\frac{1}{1x3}\)+ ............ +\(\frac{1}{99x100}\)+

b. \(\sqrt{4}\)+\(\sqrt[3]{8}\)+ \(\frac{2}{3}\)

Answer 1

\(a,\)\(\frac{1}{1\times2}+\frac{1}{2\times3}+.......+\frac{1}{99\times100}\)

\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+........+\frac{1}{99}-\frac{1}{100}\)

\(=1-\frac{1}{100}\)

\(=\frac{99}{100}\)

Answer 2

\(b,\)\(\sqrt{4}+\sqrt[3]{8}+\frac{2}{3}\)

\(=2+2+\frac{2}{3}\)

\(=4+\frac{2}{3}\)

\(=\frac{14}{3}\)