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10-20-13-45-




Question Number 143507 by Billy last updated on 15/Jun/21
10(√(20))+13(√(45))
$$\mathrm{10}\sqrt{\mathrm{20}}+\mathrm{13}\sqrt{\mathrm{45}} \\ $$
Answered by qaz last updated on 15/Jun/21
10(√(20))+13(√(45))  =10×2(√5)+13×3(√5)  =(20+39)(√5)  =59(√5)
$$\mathrm{10}\sqrt{\mathrm{20}}+\mathrm{13}\sqrt{\mathrm{45}} \\ $$$$=\mathrm{10}×\mathrm{2}\sqrt{\mathrm{5}}+\mathrm{13}×\mathrm{3}\sqrt{\mathrm{5}} \\ $$$$=\left(\mathrm{20}+\mathrm{39}\right)\sqrt{\mathrm{5}} \\ $$$$=\mathrm{59}\sqrt{\mathrm{5}} \\ $$

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