Question
Download Solution PDFWhat value would come in place of the question mark (?) in the following equation?
\(\sqrt[3]{2744} + \sqrt[3]{4096} + \sqrt{?} = 38.5 \)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
∛(2744) + ∛(4096) + √(?) = 38.5
Formula used:
Cubic root of a number: ∛(x)
Square root of a number: √(x)
Calculation:
∛(2744) = 14
∛(4096) = 16
⇒ 14 + 16 + √(?) = 38.5
⇒ 30 + √(?) = 38.5
⇒ √(?) = 38.5 - 30
⇒ √(?) = 8.5
⇒ ? = 8.5 × 8.5
⇒ ? = 72.25
∴ The correct answer is option (3).
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