Question

Rationalize 4+√5/4-√5​

Answer 1

Answer:

21+8√5/11

Step-by-step explanation:

4+√5/4-√5​

(4+√5)( 4+√5)/(4-√5)​( 4+√5)

( 4+√5)²/4²-(√5)²

16+5+8√5/(16-5)

21+8√5/11

Answer 2

4+√5/4-√5

Since,

we know that

Conjugate of 4-√5=4+√5.

Therefore,

4+√5/4-√5×4+√5/4+√5

= 4(4+√5) +√5(4+√5) /(4-√5) (4+√5)

= 16+4√5+4√5+5/4(4+√5) -√5(4+√5)

= 20+8√5/16+4√5-4√5-5

=20+8√5/11