University Maths Solution
| Maths Question | |
|---|---|
| Question 1 |
$\text{Solve 4}\sqrt{x+2}-\sqrt{x+7}-5\sqrt{x-1}=0$ |
| Question 2 |
$\begin{align} & \text{Solve }x\sqrt{2+x}+2\sqrt{2-x}=\sqrt{8+{{x}^{3}}} \\ & \\\end{align}$ |
| Question 3 |
$\text{Simplify }\frac{1}{\sqrt{3}+\sqrt{2}}$ |
| Question 4 |
$\text{Simplify}\frac{2-2\sqrt{2}+\sqrt{5}}{2-2\sqrt{2}-\sqrt{5}}$ |
| Question 5 |
$\text{Find the square root of }17+12\sqrt{2}$ |
| Question 6 |
$\text{Find the positive square root of }19-4\sqrt{21}$ |
| Question 7 |
Given that $a=\frac{1}{2-\sqrt{3}}$ , $b=\frac{1}{2+\sqrt{3}}$ , find the value of ${{a}^{2}}+{{b}^{2}}$ |
| Question 8 |
Simplify as much as possible $\frac{1}{\sqrt{x+1}-\sqrt{x-1}}$ |
| Question 9 |
Simplify as much as possible ${{\left( \sqrt{x}+\frac{1}{\sqrt{x}} \right)}^{2}}-{{\left( \,\sqrt{x}-\frac{1}{\sqrt{x}} \right)}^{2}}$ |
| Question 10 |
Simplify as much as possible $\frac{1}{x-\sqrt{{{x}^{2}}-1}}$ |
| Question 11 |
Simplify without table, find the value of $\frac{1}{{{(1-\sqrt{3})}^{2}}}-\frac{1}{{{(1+\sqrt{3})}^{2}}}$ |