Ask and Speak Mathematics

  Exercise: Given that, $A\left( x \right)={{\left( 5x-1 \right)}^{2}}-{{\left( 2x+3 \right)}^{2}}$ and $B\left( x \right)=9{{x}^{2}}-...

Exercise : Compute the following, 1)     $\sqrt{{{3}^{2}}+{{4}^{2}}+{{\left( 2\sqrt{6} \right)}^{2}}}$ 2)     $\sqrt{\frac{{{8}^{10}}+{...

 Exercise: Determine the values of $a\And b$ such that ${{\left( \frac{1+\sqrt{5}}{2} \right)}^{12}}=a+b\sqrt{5}$ Solution: Let $u=\fr...

Exercise: Solve in $\mathbb{R}$, 1)       $\sqrt{x}-\left| x-2 \right|<1$ 2)       ${{\sin }^{4}}x+{{\cos }^{4}}x=1$ 3)      ...

Exercise: Evaluate the following $\underset{n\to \infty }{\mathop{\lim }}\,\frac{\sqrt[{{n}^{2}}]{\prod\nolimits_{k=1,2,...,n}{k!}}}{\...