Question
Download Solution PDFWhat approximate value should come in place of the question mark (?) in the following question?
18.45² + ∛(729.08) + 89.32 = ?² - 42.99
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven Expression:
18.45² + ∛(729.08) + 89.32 = ?² - 42.99
Approximate each term:
18.45² ≈ 340.2 (since 18.45 × 18.45 ≈ 340.2025)
∛729.08 ≈ ∛729 = 9
89.32 stays as is
LHS: 340.2 + 9 + 89.32 = 438.52
⇒ 438.52 = ?² - 42.99
⇒ ?² = 438.52 + 42.99 = 481.51
√481.51 ≈ 21.93 ≈ 22
Thus, the correct answer is 22.
Last updated on Jul 22, 2025
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