Question

simplify the following expression:
\\(\frac{5^2 - 2^2}{7} - \sqrt{121} + 4^2\\)

Explanation:

Step1: Calculate exponents and square root

First, calculate \(5^2 = 25\), \(2^2 = 4\), \(\sqrt{121}=11\), and \(4^2 = 16\).
The expression becomes \(\frac{25 - 4}{7}-11 + 16\).

Step2: Simplify the fraction

Simplify the numerator of the fraction: \(25 - 4 = 21\). Then \(\frac{21}{7}=3\).
Now the expression is \(3-11 + 16\).

Step3: Perform arithmetic operations

First, \(3-11=-8\), then \(-8 + 16 = 8\).

Answer:

\(8\)