Answer :
Answer:
The products of the expression is 7 x² - ( 6[tex]\sqrt{14}[/tex] - 3 [tex]\sqrt{42}[/tex] ) x + 36 [tex]\sqrt{3}[/tex]
Step-by-step explanation:
Given expression :
( x [tex]\sqrt{7}[/tex] - 3 [tex]\sqrt{6}[/tex] ) × ( x [tex]\sqrt{7}[/tex] - 3 [tex]\sqrt{8}[/tex] )
Or, ( x [tex]\sqrt{7}[/tex] × x [tex]\sqrt{7}[/tex] ) - 3 x × [tex]\sqrt{7}[/tex] × [tex]\sqrt{8}[/tex] - 3 x × [tex]\sqrt{7}[/tex] × [tex]\sqrt{6}[/tex] + 3 × [tex]\sqrt{6}[/tex] × 3 [tex]\sqrt{8}[/tex]
Or, 7 x² - 3 x × [tex]\sqrt{56}[/tex] - 3 x × [tex]\sqrt{42}[/tex] + 9 × [tex]\sqrt{48}[/tex]
Or, 7 x² - 3 x × ( [tex]\sqrt{56}[/tex] + [tex]\sqrt{42}[/tex] ) + 9 × [tex]\sqrt{48}[/tex]
or , 7 x² - 3 x × ( 2[tex]\sqrt{14}[/tex] + [tex]\sqrt{42}[/tex] ) + 9 × 4 [tex]\sqrt{3}[/tex]
Or, 7 x² - ( 6[tex]\sqrt{14}[/tex] - 3 [tex]\sqrt{42}[/tex] ) x + 36 [tex]\sqrt{3}[/tex]
Hence The products of the expression is 7 x² - ( 6[tex]\sqrt{14}[/tex] - 3 [tex]\sqrt{42}[/tex] ) x + 36 [tex]\sqrt{3}[/tex] . Answer