2.75^2 + 15^2
asked by guest on Feb 01, 2025 at 5:06 am
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MathBot Answer:
2.752+152=372116=232.5625{2.75}^{2} + {15}^{2} = \frac{3721}{16} = 232.56252.752+152=163721=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}2.752+152=(2+10075)2+152=(2+43)2+152=(411)2+152=16121+152=16121+225=163721