Question

The value of √6+√6+√6+... is
A. 4
B. 3
C. – 2
D. 3.5

Answer 1

B. 3

Step-by-step explanation:

Let x be the sum of √6 + √6 + √6....

Representing root as A, we get:

x = A6 + A6 + A6 +...infinity  -------------(1)

x² = 6 A6+A6+A6+...infinity

x² =6+A6+A6+A6+...infinity

  =6 + (A6+A6+A6+...infinity)  ---------------(2)

x² = 6 + x

x² -x - 6 = 0

Factorizing, we get (x-3)(x+2) = 0

So x can be +3 or -2

Since the original equation has a root, x can't be negative in this case. So x = +3.

Option B is the answer.

Answer 2

Answer:

Correct option is B

∴x=3 or x=−2

Step-by-step explanation:

hope it's help full to you