Question

√12+√12........
$\sqrt{12 + \sqrt{12 + \sqrt{12 + ...... \infty } } }$
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Answer 1

Answer:

4

Step-by-step explanation:

let x = √12+√12....... infinity

therefore x= √12+x

( squaring both sides)

xsquare = 12+ x

xsquare - x - 12 = 0

by factorisation,

xsquare - ( 4x- 3x) -12 = 0

xsquare - 4x + 3x -12= 0

taking common,

x( x-4) +3 (x-4)= 0

so...

x+3= 0

x= -3

and,

x-4= 0

x=4

since negative value can't be taken

so x= 4