Question

simplify the following by rationalizing the denominator 4 + root 5 by 4 minus root 5 + 4 minus root 5 by 4 + root 5​

Answer 1

Answer:

If you want it's decimal value then it is 11.1803399.

Step-by-step explanation:

hope this helps you ☺️❤️

Answer 2

Answer:

Step-by-step explanation:

(4 +√5)/(4 -√5)  + (4 -√5)/(4 +√5)

now dividing and multiplying the first term by (4 +√5) and second term by (4 -√5), we get,

(4 +√5)×(4 +√5)/(4 -√5)×(4 +√5) + (4 -√5)×(4 -√5)/(4 +√5)×(4 -√5)

⇒(4 +√5)²/(16 -5) +  (4 -√5)²/(16 -5)   ( applying (a² -b²) = (a+b)(a -b))

⇒(16 +5 +8√5 +16 +5 - 8√5)/11

⇒42/11