Question Video: Simplifying Radical Expressions | Nagwa Question Video: Simplifying Radical Expressions | Nagwa

# Question Video: Simplifying Radical Expressions Mathematics • Second Year of Preparatory School

## Join Nagwa Classes

√(7) (3√(7) − 5) − 2(4 − 5√(7))

01:19

### 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.

## Join Nagwa Classes

Attend live sessions on Nagwa Classes to boost your learning with guidance and advice from an expert teacher!

• Interactive Sessions
• Chat & Messaging
• Realistic Exam Questions