EXEMPLARY QUESTION TYPES
1.
\(\sqrt{(-5)^2}+\sqrt[3]{(-2)^3}+\sqrt[3]{64}=?\)
2.
\(\sqrt{(1-\sqrt7)^2}+\sqrt{(\sqrt7-3)^2}=?\)
3.
\(x<0<y\)
\(\Rightarrow\samefrac{\sqrt{x^2}+\sqrt[4]{y^4}}{\sqrt[5]{x^5}-\sqrt[3]{y^3}}=?\)
4.
\(\sqrt{2+\sqrt[3]{5+\sqrt{11-\sqrt{x+1}}}}=2\)
\(\Rightarrow x=?\)
5.
\(\samefrac{3\sqrt2-2\sqrt3}{\sqrt3-\sqrt2}=?\)
6.
\(A\in\mathbb R\)
\(A=\samefrac{\sqrt{x-2}+x+3}{\sqrt{4-2x}+x-1}\)
\(\Rightarrow A=?\)
7.
\(x=\samefrac{\sqrt5-2}{\sqrt7+\sqrt3}\)
\(\Rightarrow\samefrac{\sqrt7-\sqrt3}{\sqrt5+2}\)
What is the value of \(\samefrac{\sqrt7-\sqrt3}{\sqrt5+2}\) in terms of x?
8.
\(x+\sqrt x=13\)
\(\Rightarrow x+\samefrac{13}{\sqrt x}=?\)