Step-by-step explanation:
Greetings !
Given expression
[tex]2 \sqrt{2} \times 7 \sqrt{18} [/tex]
Apply radical rule
[tex] \sqrt{a} \sqrt{b} = \sqrt{ab} [/tex]
where
[tex]a \geqslant 0,b \geqslant 0[/tex]
Thus
[tex] \sqrt{2} \sqrt{18} = \sqrt{2 \times 18} [/tex]
Multiply the numbers 2.18=36
[tex] \sqrt{36} [/tex]
[tex] = 2 \sqrt{36} \times 7 \\ \sqrt{36} = 6[/tex]
simplify
[tex]2 \times 6 \times 7 =84[/tex]
Hope it helps!