Question
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Solution
Let: x = √[8 × ∛(64 × √[8 × ∛(64 × ...)])] Start simplifying: x = √(8 × ∛(64 × x)) = √(8 × 4 × x(1/3))       :: [∛64 = 4] = √(32 × x(1/3)) = √32 × x(1/6) = 4√2 × x(1/6) Now solve = x = 4√2 × x(1/6) => x(5/6) = 4√2 => x = (4√2)(6/5) Simplify powers = 4√2 = 22 × 2(1/2) = 2(5/2) => x = (2(5/2))(6/5) = 23 = 8
More Difficult level Section Tests Questions
30% of 200 – 20% of 50 = 10% of ?
?3 - 25 × 11 = 30 - 15 × 12
Simplify the following expressions and choose the correct option.
(45% of 640) ÷ 8 + (3/4 of 96) = ?
- What will come in the place of question mark (?) in the given expression?
(15 - 19 + 10) ² + ? = 45 X 2 - 48% of 300 – 24% of 150 = 12% of ?
36% of 250 + 26 ÷ 2 × ? = 207
10 × 100 ÷ 5 + 9 = ?
What will come in the place of question mark (?) in the given expression?
? = (27 × 13) – 26% of (412 – 92 )
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