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CBSE Class 8 Answered

left parenthesis 12 plus square root of 12 plus square root of 12 plus... end root end root right parenthesis solve it
Asked by meena.pc62 | 22 Jan, 2017, 04:31: PM
answered-by-expert Expert Answer
begin mathsize 16px style P l e a s e space c h e c k space y o u r space q u e s t i o n. space T h e space q u e s t i o n space s h o u l d space b e
open parentheses square root of 12 space plus space square root of 12 space plus space square root of 12 space plus space..... end root end root end root close parentheses
T h e space s o l u t i o n space i s space d o n e space u sin g space Q u a d r a t i c space E q u a t i o n comma space w h i c h space i s space n o t space a space p a r t space o f space y o u r space s y l l a b u s.
space L e t space x equals square root of 12 space plus space square root of 12 space plus space square root of 12 space plus space..... end root end root end root
S q u a r i n g comma
x squared equals space 12 space plus space square root of 12 space plus space square root of 12 space plus space..... end root end root
rightwards double arrow x squared equals space 12 space plus space x
rightwards double arrow x squared minus x minus 12 equals 0
rightwards double arrow x squared minus 4 x plus 3 x minus 12 equals 0
rightwards double arrow x left parenthesis x minus 4 right parenthesis plus 3 left parenthesis x minus 4 right parenthesis equals 0
rightwards double arrow left parenthesis x minus 4 right parenthesis left parenthesis x plus 3 right parenthesis equals 0
rightwards double arrow x equals 4 space o r space x space equals space minus 3
B u t space t h e space s q u a r e space r o o t space c a n n o t space b e space n e g t a i v e.
H e n c e space x equals 4
rightwards double arrow open parentheses square root of 12 space plus space square root of 12 space plus space square root of 12 space plus space..... end root end root end root close parentheses equals 4 end style
Answered by Rashmi Khot | 23 Jan, 2017, 10:38: AM
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