Question

Write √3 ÷5-2V3 in simplest radical form.

Answer 1

So the expression in simplified radical form will be
`(5√(3)+6)/(13)`

Explanation:

We have have given the expression
`(√(3))/(5-2√(3))`

We have to write this expression in simplest radical form

For writing in simplest radical form we have to rationalize first

So after rationalizing

`(√(3))/(5-2√(3))* (5+2√(3))/(5+2√(3))=(5√(3)+6)/(25-12)=(5√(3)+6)/(13)`

So the expression in simplified radical form will be
`(5√(3)+6)/(13)`