Question

of x= 5/root 5 + root 4 , y= 6/ root 5 - root 4 then find x + y

answer correct and get 30 points ..
even i will mark the correct answer as brainlist answer​

Answer 1

Answer:

11√5+√4 or 11√5+2. I hope this will help you

Answer 2

Answer:

( 11√5 + 2 )

Step-by-step explanation:

Given :- The given numbers are x = 5/(√5 + √4) and y = 6/(√5 - √4).

To Find :- Addition of the given numbers or variables x and y.

Solution :-

Given numbers are x = $\frac{5}{\sqrt{5} +\sqrt{4} }$ and y = $\frac{6}{\sqrt{5} -\sqrt{4} }$

Here we need to add both the variable x and y.

∴ x + y = $\frac{5}{\sqrt{5} +\sqrt{4} }$ + $\frac{6}{\sqrt{5} -\sqrt{4} }$

           = $\frac{5\sqrt{5}- 5\sqrt{4} + 6\sqrt{5} + 6\sqrt{4} }{(\sqrt{5} +\sqrt{4} )(\sqrt{5}-\sqrt{4} )}$

           = ( 11√5 + √4 ) ÷ ( (√5)² - (√4)² )       [ ∵ (a + b)(a - b) = a² - b² ]

           = ( 11√5 + 2 ) ÷ ( 5 - 4 )

           = ( 11√5 + 2 )

Therefore, x + y = ( 11√5 + 2 ) .

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