Thank you for visiting Evaluate the expression sqrt 399 frac 601 6 625 cdot 25. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Let's solve the mathematical expression step-by-step to verify if it is correct.
The expression is:
[tex]\sqrt{399} + \frac{601}{6} = 625 \cdot 25[/tex]
Step 1: Simplify [tex]\sqrt{399}[/tex]
The square root of 399 doesn't simplify nicely because 399 is not a perfect square. Since 399 is close to 400, whose square root is 20, we can estimate it:
[tex]\sqrt{399} \approx 19.97[/tex]
Step 2: Calculate [tex]\frac{601}{6}[/tex]
Divide 601 by 6:
[tex]\frac{601}{6} = 100.1667[/tex]
Step 3: Add the two values
[tex]19.97 + 100.1667 = 120.1367[/tex]
Step 4: Calculate [tex]625 \cdot 25[/tex]
Multiply 625 by 25:
[tex]625 \cdot 25 = 15625[/tex]
Conclusion:
The value of the left side of the equation is approximately 120.1367, while the right side is 15625. Therefore, the given statement [tex]\sqrt{399} + \frac{601}{6} = 625 \cdot 25[/tex] is false. When evaluating both sides, they do not equal each other.
Thus, the statement is incorrect.
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