Question

Find the value of √30 + √30 + √30 + ⋯ by factorisation​

Answer 1

Answer:

Step-by-step explanation:

Okay, so the roots thing go on infinitely, so we can assume that x = √30 + √30 + √30 + ⋯

now x^2 will cancel the first root

x^2 = 30 + (√30 + √30 + √30 + ⋯ ) This might be re-written as 30 + x

x^2 - x - 30 = 0

x^2 - 6x + 5x - 30 = 0

x(x - 6) + 5(x - 6) = 0

(x-6) (x + 5) = 0

x = 6 or -5

Of course the answer will not be in negative, so the answer is 6