Work:
Expand (4√3 − 2√5) (3√10 + 5√6) using the FOIL Method:
Apply the distributive property:
4√3 (3√10 + 5√6 ) − 2 √ 5 ( 3 √ 10 + 5 √ 6 )
4√3 (3√10) + 4√3 (5√6) − 2√5 (3√10 + 5√6)
4√3 (3√10) + 4√3 (5√6 ) − 2√5 (3√10) − 2√5 (5√6)
Simplify and combine like terms:
12√30+60√2−30√2−10√30
Subtract 10√30 from 12√30
2√30+60√2−30√2
Subtract 30√2 from 60√2
2√30+30√2
Answer:
The result can be shown in multiple forms.
Exact Form:
2√30+30√2
Decimal Form:
53.38085802