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

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`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`

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`

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