giúp please
K
Khách
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2 tháng 7 2021
b) Ta có: \(P=\sqrt{\dfrac{14+3\sqrt{3}}{2}}+\sqrt{\dfrac{16+2\sqrt{15}}{3}}-\dfrac{11\sqrt{3}}{6}\)
\(=\sqrt{\dfrac{28+6\sqrt{3}}{4}}+\sqrt{\dfrac{16+2\sqrt{15}}{3}}-\dfrac{11\sqrt{3}}{6}\)
\(=\dfrac{3\sqrt{3}+1}{2}+\dfrac{\sqrt{15}+1}{\sqrt{3}}-\dfrac{11\sqrt{3}}{6}\)
\(=\dfrac{3\sqrt{3}+1}{2}+\dfrac{3\sqrt{5}+\sqrt{3}}{3}-\dfrac{11\sqrt{3}}{6}\)
\(=\dfrac{3\left(3\sqrt{3}+1\right)+2\left(3\sqrt{5}+\sqrt{3}\right)-11\sqrt{3}}{6}\)
\(=\dfrac{9\sqrt{3}+9+6\sqrt{5}+2\sqrt{3}-11\sqrt{3}}{6}\)
\(=\dfrac{9+6\sqrt{5}}{6}\)
\(=\dfrac{3+2\sqrt{5}}{2}\)
7 tháng 1 2022
My name's Charlotte and I'm from Wales, but I live in Nottingham now. I like living here, but sometimes I miss Wales. I live with my parents and younger brother. I've got a sister too, but she's in university. We've got a pet cat, Tigger. He's very lazy and always sleeps in my bedroom!
I don't live near school, so I come to school by train. I usually chat to my friends on the train. but sometimes I listen to music or watch TV on my phone. At the weekend, I enjoy shopping and skateboarding with my friends. On Sunday, I usually visit my grandparents for lunch.
\(y\times2+y\times3+y\times4=45\)
\(\Leftrightarrow y\times\left(2+3+4\right)=45\)
\(\Leftrightarrow y\times9=45\)
\(\Leftrightarrow y=45:9\)
\(\Leftrightarrow y=5\)