Question

5 root 3 - root 15 ÷ 5 root 3 + root 15 rationalize the denominator​

Answer 1

3 - root 5 ÷ 2

Step-by-step explanation:

Let's multiply the expression by 5 root 3 - root 15 ÷ 5 root 3 - root 15 to rationalize the expression.

In the numerator,

(5 root 3 - root 15) ^2

= (5 root 3)^2 - 2(5 root 3)(root 15) + 15

= 75 - 30 root 5 + 15

= 90 - 30 root 5

= 30 (3 - root 5)

In the demominator,

= (5 root 3)^2 - (root 15)^2

= 75 - 15

= 60

30 (3 - root 5) ÷ 60

= 3 - root 5 ÷ 2

Answer 2

$\frac{3 - \sqrt{5} }{2}$

Refer the attachment for complete answer