Question

Btw this is SURDS I need a detailed answer

with good explanation...
look at the attached file​

Answer 1

See below

Explanation:

`\displaystyle ((4-√(3))(4+√(3)))/(√(13))\\\\=(16-3)/(√(13))\\\\=(13)/(√(13))\\\\=(13)/(√(13))\cdot(√(13))/(√(13))\\\\=(13√(13))/(13)\\\\=√(13)`

Note that
`(4-√(3))(4+√(3))=4^2-√(3)^2=16-3=13` is a difference of squares