Question

pls solve this question

Answer 1

Answer:

Step-by-step explanation:

if we take n=1 then ,

√1+√1.......∞

so we will take this is= x

then

√1+x=x

squaring both the side

1+x=x^2

we wil put every thing on one side

x^2+x+1=0

by middle term splitting method

x^2+2x-x+1

=x^2 +2x+1-x  

=(x+1)^2-(sqrt(x))^2  

=(x+1+sqrt(x))-(x+1-sqrt(x))

so hre we see that the value of x is not a perfect square

now we take n=2

same steps we get

2+x=x^2

middle term splitting method

x^2-2-x

=x^2-x-2

=x^2-2x+x-2

=x(x-2)+1(x-2)

=(x+1)(x-2)

x=-1 and 2 which  natural number here -1 cant be an answer.

if we repeat this proccess we find out the answer to be

u will find out right its so simple...