Question

Solve the question and get 1 brainliest point. Ques:The value of $\sqrt{6+\sqrt{6+\sqrt{6+\sqrt{6+............}}$..............∞ is.
Please do not write anything else other wise I have to report.

Answer 1

Answer:

3

Step-by-step explanation:

y = √(6+(√6+(√6+……∞))) …………………………………………………………………..(1)

Since the terms on right-side of eq.(1) are embedded or nested one within the other and the terms are endless (infinite), we can replace the entire radical exptression (√6+(√6+……∞)) by y and rewrite eq.(1) as

y = √(6+y) Squaring both sides and transposing all terms to left-side,

y² - y - 6 = 0 which on factorization becomes

(y-3) (y+2) = 0 These yield two values for y;

y = 3 and y = -2

Answer 2

Answer:

3

Step-by-step explanation:

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