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posledela
3 years ago
10

5/√2+9/√8-2√50+√32 rationalise the denominator and simplify​

Mathematics
1 answer:
Alik [6]3 years ago
7 0

Answer:                                                                                                  \displaystyle\ \Large \boldsymbol{ -\frac{5\cdot  \sqrt{2} }{4}}

Step-by-step explanation:                                                                                           \displaystyle\ \Large \boldsymbol{} \frac{5}{\!\!\sqrt{2} } +\frac{9}{\!\!\sqrt{8} } -2\sqrt{50} +\sqrt{32} =\frac{1}{\!\!\sqrt{2} } \bigg(5+\frac{9}{\sqrt{4} } \bigg)+\sqrt{2} (\sqrt{16} -2\sqrt{25} ) \\\\\\\\\frac{1}{\sqrt{2} } (5+4,5)+\sqrt{2} (4-10)=\frac{9,5}{\sqrt{2} } -6\sqrt{2} =\frac{9,5-12}{\sqrt{2} } = \\\\\\-\frac{5\cdot  \sqrt{2} }{4}

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