15.2 x 15.2

asked by guest
on Oct 25, 2024 at 9:29 pm



You asked:

Evaluate the expression: \(15.2 \cdot 15.2\)

MathBot Answer:

\[15.2 \cdot 15.2 = \frac{5776}{25} = 231.04\]


\[\begin{aligned}15.2 \cdot 15.2& = \left(15 + \frac{2}{10}\right) \cdot \left(15 + \frac{2}{10}\right)\\& = \left(15 + \frac{1}{5}\right) \cdot \left(15 + \frac{2}{10}\right)\\& = \frac{76}{5} \cdot \left(15 + \frac{2}{10}\right)\\& = \frac{76}{5} \cdot \left(15 + \frac{1}{5}\right)\\& = \frac{76}{5} \cdot \frac{76}{5}\\& = \frac{5776}{25}\end{aligned}\]