Question

the value of √6+√6+√6+... is -----------

Answer 1

Answer:

3 and-2

Step-by-step explanation:

Let √6+√6+√6+..... = X

then √6+X = X

Squaring both sides

6+X = X²

X²-X-6 = 0

X²-3X+2X-6 = 0

X(X-3)+2(X-3) = 0

(X-3)(X+2) = 0

X = 3 and X = -2