Question

Rationalize the denominator of 1/root 3 + root 5​

Answer 1

Answer:

multiply and divide the conjugate form of the denominator

conjugate means change the symbol with the same root numbers

so for √3+√5 conjugate is √3- √5

1 √3 - √5

______ x ________

√3 +√5 √3 - √5

= √3 - √5

___________

(√3+√5) (√3-√5)

= √3 - √5

______________

(√3) square - √5square

use the formula (a+b) (a-b) =a square - b square

= √3 -√5

_________

3 - 5

√3 -√5

_______

-2

= √5-√3

______

2