Video Transcript
Root seven time three root seven
minus five minus two times four minus five root seven.
Well, we’re gonna use the
distributive property of multiplication to tackle this question. So looking at the first parentheses
first, we’ve got root seven times three root seven, which is the same as root seven
time three time root seven. Then, we’ve got root seven times
negative five. So we’re taking away root seven
times five which is the same as five times root seven. Then, we’re gonna do negative two
times four which is negative eight. So we’re taking away eight. And negative two times negative
five root seven. Well, negative two times negative
five is positive 10. So we’ve got positive 10 root
seven.
Right, let’s look through here. Now, in this first term here, we’ve
got root seven times root seven times three. Well, root seven times root seven
is seven, and seven times three is 21. And we can’t simplify the second
term, so minus five root seven. And we’ve got minus eight. And likewise, we can’t simplify the
last term. Now, 21 take away eight is 13. And negative five root seven plus
10 root seven is positive five root seven. And since seven doesn’t have any
square factors bigger than one, we can’t simplify this down any further. So 13 plus five root seven is our
answer.
