Question

How do i get the answer? ive tried rationalising it, but i think i might be doing it wrong ??

Answer 1

k = 3 , n = 7

Explanation:

given

`(√(18)+14 )/(√(2) )`

using the rules of radicals

•
`√(a)` ×
`√(b)` =
`√(ab)`

•
`√(a)` ×
`√(a)` = a

multiply the numerator and denominator by
`√(2)`

=
`(√(2)(√(18)+14) )/(√(2)(√(2)) )`

=
`(√(36)+14√(2) )/(2)`

=
`(6+4√(2) )/(2)`

=
`(6)/(2)` +
`(14√(2) )/(2)`

= 3 + 7
`√(2)` ← in the form k + n
`√(2)`

with k = 3 and n = 7