Question

Express 26 divide 4 +root3 in form a +b root3 where a and b are integres​

Answer 1

8 - 4
`√(3)`

Explanation:

Given:
`(26)/(4 + √(3) )`

To express the given question in the form a + b
`√(3)`, we first have to rationalize the denominator of the expression.

Rationalizing the denominator, we have;

`(26)/(4 + √(3) )` *
`(4 - √(3) )/(4 - √(3) )` =
`(104 -26√(3) )/(16 -4√(3) + 4√(3)- 3 )`

=
`(104 - 26√(3) )/(16 - 3)`

=
`(26(4 - √(3) )/(13)`

= 2(4 -
`√(3)`)

= 8 - 4
`√(3)`

The required form of the given question is therefore 8 - 4
`√(3)`