Multiple choice

What approximate value should come in place of the question mark (?) in the following equation? (You are not expected to calculate the exact value.) [ ( 4900 ÷ 196 ) 1 2 + ( 725 ÷ 24.95 ) 2 ] = ( ? ) 2 − 699.932

  1. 33

  2. 39

  3. 35

  4. 45

  5. 50
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The expression is (4900/196)^(1/2) + (725/24.95)^2 = ?^2 - 699.932. This simplifies to sqrt(25) + (29)^2 = ?^2 - 700. Thus, 5 + 841 + 700 = ?^2, so ?^2 = 1546. The square root of 1546 is approximately 39.3.

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