Question

$\sqrt{72 - \sqrt{72 - \sqrt{72 - ..... \infty } } }$
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Answer 1

Answer:

value of the expression is 8

Step-by-step explanation:

Let the whole expression be x

x= ✓(72-x)

squaring both sides

x^2 = 72 - x

x^2+x-72 =0

x^2 + 9x -8x-72=0

(x+9)(x-8)=o

x= 8

value is positive