Question

Question For Genious!

[x+√5=4+√y]

Then Find( x+y) where x and y is a Rational Number.

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Answer 1

Answer:

x + √5 = 4 + √y

Comparing the left hand side with the right hand side we get :

⇒ x = 4

⇒ y = 5

So x + y = 4 + 5

⇒ x + y = 9

The value of x + y is 9 .

Step-by-step explanation:

Anything which is written as √x where x is not a perfect square , is an irrational number .

√5 is hence an irrational number .

4 is a rational number on the right hand side .

So the equation has both rational and irrational parts .

The rational portion on the right hand side can be directly equated with the rational portion on the left hand side .

Similarly the irrational portion on the right hand side can be directly equated with the irrational portion on the left hand side .

Hence x and 4 can be equated .

√y and √5 can be equated .

x = 4 .

√y = √5 , and on squaring we get , y = 5 .

The value of x + y = 9 .