Homework Help

Simplify `sqrt 15 / (5*sqrt20)` and `sqrt8 / sqrt100`    

user profile pic

stargsd5 | Student, College Freshman | Valedictorian

Posted April 30, 2013 at 11:18 PM via web

dislike 1 like

Simplify `sqrt 15 / (5*sqrt20)` and `sqrt8 / sqrt100`

 

 

2 Answers | Add Yours

user profile pic

oldnick | Valedictorian

Posted May 1, 2013 at 3:12 AM (Answer #1)

dislike 1 like

`1)`       `sqrt(15)/(5sqrt(20))=` `sqrt(15)/(5sqrt(4 xx 5))=` `sqrt(15)/(5sqrt(2^2 xx 5))=` `sqrt(15)/(5 xx 2 sqrt(5))=` `sqrt(3 xx 5)/(10sqrt(5))=` `(sqrt(3) xxsqrt(5))/(10sqrt(5))=`

                       `=sqrt(3)/10`

`2)`     `sqrt(8)/sqrt(100)=sqrt(8/100)=sqrt(4/50)=sqrt(2/25)=sqrt(2)/sqrt(25)=` `sqrt(2)/sqrt(5^2)=sqrt(2)/5`

user profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted May 1, 2013 at 3:30 AM (Answer #2)

dislike 0 like

The simplified form of:

`sqrt15/(5*sqrt 20) `

= `sqrt15/(5*2*sqrt 5)`

= `(sqrt 3*sqrt 5)/(10*sqrt 5)`

= `sqrt 3/10`

`sqrt 8/sqrt 100`

= `(2*sqrt 2)/10`

= `sqrt 2/5`

The simplified form of `sqrt15/(5*sqrt 20) = sqrt 3/10` and `sqrt 8/sqrt 100 = sqrt 2/5`

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes