Question

Simplify the following:

$(\sqrt{3}-\sqrt{2}{)}^2$ is equal to $5-2\sqrt{6}$.
If true then enter $1$ and if false then enter $0$.

• A. $1$
• B. $0$
• C. $-1$
• D. $-2$

Answer 1

The correct option is A $1$

We know, $(a-b{)}^2$ = $a^2+b^2-2ab$.
Then, $(\sqrt{3}-\sqrt{2}{)}^2$
= $(\sqrt{3}{)}^2+(\sqrt{2}{)}^2-2\times \sqrt{3}\times \sqrt{2}$
= $3+2-2\sqrt{6}$
= $5-2\sqrt{6}$.

Hence, the statement is correct.

Therefore, option $A$ is correct.