Class 9th math 1.2 solution english PCTB

\((i)\) \(\quad \large{\frac{13}{4+\sqrt{3}}} \)

\((ii)\) \(\quad \large{\frac{\sqrt{2}+\sqrt{5}}{\sqrt{3}}} \)

\((iii)\) \(\quad \large{\frac{\sqrt{2}-1}{\sqrt{5}}}\)

\((iv)\) \(\quad \large{\frac{6-4\sqrt{2}}{6+4\sqrt{2}}} \)

\((v)\) \(\quad \large{\frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}+\sqrt{2}}} \)

\((vi)\) \( \quad \large{\frac{4\sqrt{3}}{\sqrt{7}+\sqrt{5}}} \)

\((i)\) \(\quad \large{\left(\frac{81}{16}\right)^{-\frac{3}{4}}} \)

\((ii)\) \(\quad \large{\left(\frac{3}{4}\right)^{-2} \div \left(\frac{4}{9}\right)^{3} \times \frac{16}{27}} \)

\((iii)\) \(\quad ( 0.027)^{-\frac{1}{3}} \)

\((iv)\) \(\quad \large{\sqrt[7]{\frac{x^{14} \times y^{21} \times z^{35}}{y^{14} \times z^{7}}}} \)

\((v)\) \(\quad \large{\frac{5.( 25)^{n+1} -25.( 5)^{2n}}{5.( 5)^{2n+3} -( 25)^{n+1}} }\)

\((vi)\) \(\quad \large{\frac{( 16)^{x+1} +20\left( 4^{2x}\right)}{2^{x-3} \times 8^{x+2}}} \)

\((vii)\) \(\quad ( 64)^{-\frac{2}{3}} \div ( 9)^{-\frac{3}{2}} \)

\((viii)\) \(\quad \large{\frac{3^{n} \times 9^{n+1}}{3^{n-1} \times 9^{n-1}}} \)

\((i)\) \(\quad x+\large{\frac{1}{x}} \)

\((ii)\) \(\quad x-\large{\frac{1}{x}} \)

\((iii)\) \(\quad x^{2} +\large{\frac{1}{x^{2}}} \)

\((iv)\) \(\quad x^{2} -\large{\frac{1}{x^{2}}} \)

\((v)\) \(\quad x^{4} +\large{\frac{1}{x^{4}}} \)

\((vi)\) \(\quad \left( x-\large{\frac{1}{x}}\right)^{2} \)

\((i)\) \(\quad \large{\frac{( 25)^{\frac{3}{2}} \times ( 243)^{\frac{3}{5}}}{( 16)^{\frac{5}{4}} \times ( 8)^{\frac{4}{3}}}} \)

\((ii)\) \(\quad \large{ \frac{54\times \sqrt[3]{( 27)^{2x}}}{9^{x+1} +216\left( 3^{2x-1}\right)}}\)

\((iii)\) \(\quad \large{\sqrt{\frac{( 216)^{\frac{2}{3}} \times ( 25)^{\frac{1}{2}}}{( 0.04)^{-\frac{3}{2}}}}}\)

\((iv)\) \(\quad \left( a^{\frac{1}{3}} +b^{\frac{2}{3}}\right) \times \left( a^{\frac{2}{3}} -a^{\frac{1}{3}} b^{\frac{2}{3}} +b^{\frac{4}{3}}\right)\)