Rationalise the denominator and simplify 15÷ √(3) ​

Question

Rationalise the denominator and simplify 15÷

`√(3)`
​

Answer 1

5√3

Explanation:

To rationalize the denominator, all you have to do is multiply both the numerator and the denominator by whatever is in the denominator, if it is only a single term in the denominator. This means you multiply
`(15)/(√(3) )`
`* (√(3))/(√(3))` . Since √3 divided by itself is 1, this doesn't change the value of the expression. Now multiplying this we get (15√3)/3. Now we can divide 15√3 by 3 to get 5√3, which is the final answer.

Answer 2

`5√(3)`

Explanation:

=>
`(15)/(√(3) )`

Multiplying and dividing by
`√(3)`

=>
`(15)/(√(3) ) *(√(3) )/(√(3) )`

=>
`(15√(3) )/((√(3))^2 )`

=>
`(15√(3) )/(3)`

=>
`5√(3)` (A Rationalized denominator!)