Question
1.1 Calculate the following without the use of a 1.1.1 \( 4^{2}+19 \times(\sqrt{ } 49) \div 7 \)
Ask by Edwards Ruiz. in South Africa
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The result is 35.
Solution
Calculate or simplify the expression \( 4^{2}+19 \times(\sqrt{49}) \div 7 \).
Calculate the value by following steps:
- step0: Calculate:
\(4^{2}+19\left(\sqrt{49}\right)\div 7\)
- step1: Simplify the root:
\(4^{2}+19\times 7\div 7\)
- step2: Multiply the numbers:
\(4^{2}+133\div 7\)
- step3: Divide the numbers:
\(4^{2}+19\)
- step4: Evaluate the power:
\(16+19\)
- step5: Add the numbers:
\(35\)
The result of the expression \(4^{2}+19 \times(\sqrt{49}) \div 7\) is 35.
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Simplify this solution Bonus Knowledge
To solve \( 4^{2}+19 \times(\sqrt{ } 49) \div 7 \), we start with the exponent: \( 4^{2} = 16 \). Next, we calculate \( \sqrt{49} = 7 \). Now, substituting back, we have: \[ 16 + 19 \times 7 \div 7 \] Since \( 7 \div 7 = 1 \), the equation simplifies to: \[ 16 + 19 \times 1 = 16 + 19 = 35 \] Thus, the final answer is \( 35 \).
