Question

16. Rationalise the denominator of
1/ 2 root 5 - root 3​

Answer 1

Answer:

multiply n divide by ✓5+✓3

then it becomes

✓5+✓3/2×(5-3)

✓5+✓3/4

Answer 2

Step-by-step explanation:

For rationalize,

we have to multiply by its conjugate

$= \frac{ \sqrt{5 } + \sqrt{3} }{2( \sqrt{5} - \sqrt{3 } )( \sqrt{5} + \sqrt{3} ) } \\ = \frac{ \sqrt{5} + \sqrt{3} }{2(5 - 3)} = \frac{ \sqrt{5} + \sqrt{3} }{4 }$