Question

please solve the problem
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Answer 1

Answer:

Option(D)

Step-by-step explanation:

To find the value of

√20 - √20 - √20..... ∞

Let,

x = √20 - √20 - √20 ....

∴ x = √20 - x

Square both sides, we get

x² = 20 - x

⇒ x² + x - 20 = 0

⇒ x² + 5x - 4x - 20 = 0

⇒ x(x + 5) - 4(x + 5) = 0

⇒ x = 4, -5

But x is clearly positive, thus you can conclude that

√20 - √20 - √20...∞ = 4

Hope it helps!