Question
17. Which expression has the greatest value? (A) \( \sqrt{49} \cdot 2 \) (B) \( \sqrt{49}-\sqrt{16} \) (C) \( \sqrt{25}+\sqrt{16} \) (D) \( \sqrt{25} \cdot 3 \)
Ask by Chen Ryan. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Option (D) has the greatest value of 15.
Solution
1. Evaluate Option (A):
\[
\sqrt{49} \cdot 2 = 7 \cdot 2 = 14
\]
2. Evaluate Option (B):
\[
\sqrt{49} - \sqrt{16} = 7 - 4 = 3
\]
3. Evaluate Option (C):
\[
\sqrt{25} + \sqrt{16} = 5 + 4 = 9
\]
4. Evaluate Option (D):
\[
\sqrt{25} \cdot 3 = 5 \cdot 3 = 15
\]
The greatest value among the options is \(15\), which corresponds to Option (D).
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Simplify this solution Bonus Knowledge
Let's crunch some numbers to find out which expression shines the brightest! (A) \( \sqrt{49} \cdot 2 = 7 \cdot 2 = 14 \) (B) \( \sqrt{49}-\sqrt{16} = 7 - 4 = 3 \) (C) \( \sqrt{25}+\sqrt{16} = 5 + 4 = 9 \) (D) \( \sqrt{25} \cdot 3 = 5 \cdot 3 = 15 \) Now, comparing all the values: - A = 14 - B = 3 - C = 9 - D = 15 The greatest value comes from option (D) \( \sqrt{25} \cdot 3 \), which equals 15! 🎉
