Question

Simplify this expression HELP ASAP

Answer 1

Answer:

B

Step-by-step explanation:

Noting the following rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ = $\sqrt{ab}$

Given

($\sqrt{2}$ + $\sqrt{3}$)( $\sqrt{5}$ - $\sqrt{7}$ )

Each term in the second factor is multiplied by each term in the first factor

= $\sqrt{2}$($\sqrt{5}$ - $\sqrt{7}$) + $\sqrt{3}$($\sqrt{5}$ - $\sqrt{7}$) ← distribute parenthesis

= $\sqrt{10}$ - $\sqrt{14}$ + $\sqrt{15}$ - $\sqrt{21}$