Pregunta
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
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
Option (D) has the greatest value of 15.
Solución
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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Como
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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! 🎉

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