3 years ago

Simplify this expression HELP ASAP

Mathematics

1 answer:

Sergio039 [100]3 years ago

8 0

Answer:

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

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

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