Question

Simplify this expression

Answer 1

Answer:

option 4

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ = $\sqrt{ab}$

Given

(2 - 5$\sqrt{6}$ ) 3$\sqrt{2}$ ← distribute parenthesis by 3$\sqrt{2}$

= 6$\sqrt{2}$ - 15$\sqrt{12}$

= 6$\sqrt{2}$ - 15$\sqrt{4(3)}$

= 6$\sqrt{2}$ - 15($\sqrt{4}$ × $\sqrt{3}$ )

= 6$\sqrt{2}$ - 15(2$\sqrt{3}$ )

= 6$\sqrt{2}$ - 30$\sqrt{3}$