Project ID:
7100020037
Accepted:
Typ:
Layout:
Question:
Priraďte výrazy, ktoré sa (pre prípustné hodnoty $a$ a $b$) rovnajú:
Question 1:
$$
\frac{a-b}{\sqrt{b}-\sqrt{a}}
$$
Answer 1:
$$
-\sqrt{a}-\sqrt{b}
$$
Question 2:
$$
\frac{a\sqrt{b}-b\sqrt{a}}{\sqrt{a}-\sqrt{b}}
$$
Answer 2:
$$
\sqrt{ab}
$$
Question 3:
$$
\frac{a}{\sqrt{a}}
$$
Answer 3:
$$
\sqrt{a}
$$
Question 4:
$$
\frac{1}{\sqrt[3]{a}}
$$
Answer 4:
$$
\frac{\sqrt[3]{a^2}}{a}
$$
Question 5:
$$
\frac{\sqrt{a}+1}{\sqrt{a}-1}
$$
Answer 5:
$$\frac{(\sqrt{a}+1)^2}{a-1}$$
Question 6:
$$
\frac{b-\sqrt{a}}{\sqrt{a}+b}
$$
Answer 6:
$$
\frac{-(\sqrt{a}-b)^2}{a-b^2}
$$
Question 7:
$$
\frac{2\sqrt{a}+\sqrt{b}}{2\sqrt{b}-\sqrt{a}}
$$
Answer 7:
$$
\frac{5\sqrt{ab}+2b+2a}{4b-a}
$$
Question 8:
$$
\frac{5}{\sqrt{a}-a}
$$
Answer 8:
$$
\frac{5(\sqrt{a}+a)}{a-a^2}
$$
Question 9:
$$
\frac{2\sqrt{a}}{3\sqrt{a}-2}
$$
Answer 9:
$$
\frac{4\sqrt{a}+6a}{9a-4}
$$