turkey-yks 2021 Q4

turkey-yks · Other · yks-tyt Indices and Surds Simplifying Surd Expressions
Mert, who performs operations with radical numbers, instead of multiplying the number $\sqrt{10} + \sqrt{6}$ by its conjugate $\sqrt{10} - \sqrt{6}$, mistakenly divided it.
Accordingly, how much greater is the number Mert found than the number he should have found?
A) $\sqrt{12}$ B) $\sqrt{15}$ C) $\sqrt{18}$ D) $\sqrt{20}$ E) $\sqrt{30}$
Mert, who performs operations with radical numbers, instead of multiplying the number $\sqrt{10} + \sqrt{6}$ by its conjugate $\sqrt{10} - \sqrt{6}$, mistakenly divided it.

Accordingly, how much greater is the number Mert found than the number he should have found?

A) $\sqrt{12}$
B) $\sqrt{15}$
C) $\sqrt{18}$
D) $\sqrt{20}$
E) $\sqrt{30}$