Question

Simplify, attached below,

Answer 1

`(70 - 10√(6) + 12√(10))/(15)`

Explanation:

Lets first break the radical fractions into two parts.
For example:

`\sqrt{(1)/(2) } = (√(1) )/(√(2\\) )`

Then we'll rationalize each numerator, because they are all perfect squares.

`((1)/(3) *(1)/(√(2)) -(2)/(3) *(1)/(√(3)) +(2)/(7) *(4)/(\sqrt5)} )/((2)/(7) *(1)/(√(8) ))`
From here, order of operations comes into play.

First you'll need to find multiply.

`((1)/(3√(2)) -(2)/(3√(3)) +(8)/(7\sqrt5)} )/((2)/(7√(8) ))`

Finally, you need to use the common denominator rule to simplify
`(70 - 10√(6) + 12√(10))/(15)`