2.75^2 + 15^2

asked by guest
on Feb 01, 2025 at 5:06 am



You asked:

Evaluate the expression: 2.752+152{2.75}^{2} + {15}^{2}

MathBot Answer:

2.752+152=372116=232.5625{2.75}^{2} + {15}^{2} = \frac{3721}{16} = 232.5625


2.752+152=(2+75100)2+152=(2+34)2+152=(114)2+152=12116+152=12116+225=372116\begin{aligned}{2.75}^{2} + {15}^{2}& = \left(2 + \frac{75}{100}\right)^{2} + 15^{2}\\& = \left(2 + \frac{3}{4}\right)^{2} + 15^{2}\\& = \left(\frac{11}{4}\right)^{2} + 15^{2}\\& = \frac{121}{16} + 15^{2}\\& = \frac{121}{16} + 225\\& = \frac{3721}{16}\end{aligned}