Mathematics: What is the product? Assume x greater-than-or-equal-to 0 (StartRoot 3 x EndRoot + StartRoot 5 EndRoot) (StartRoot 15 x EndRoot + 2 StartRoot 30 EndRoot) 3 x StartRoot 5 EndRoot + 3 StartRoot 165 x EndRoot + 10 StartRoot 6 EndRoot 3 x StartRoot 5 EndRoot + 6 StartRoot 10 x EndRoot + 5 StartRoot 3 x EndRoot + 10 StartRoot 6 EndRoot 3 x StartRoot 5 EndRoot + 10 StartRoot 6 EndRoot StartRoot 3 x EndRoot + 5 StartRoot 3 x EndRoot + 10 StartRoot 6 EndRoot

What is the product? Assume x greater-than-or-equal-to

Ответ:

markmeinberg

30.01.2022

3x√5 + 6√(10x) + 5√(3x) + 10√6

Step-by-step explanation:

$(\sqrt{3x}+\sqrt{5})(\sqrt{15x}+2\sqrt{30})=\sqrt{3x}(\sqrt{15x}+2\sqrt{30})+\sqrt{5}(\sqrt{15x}+2\sqrt{30})\\\\=\sqrt{45x^2}+2\sqrt{90x}+\sqrt{75x}+2\sqrt{150}\\\\=\sqrt{5(3x)^2}+2\sqrt{10x(3)^2}+\sqrt{3x(5)^2}+2\sqrt{6(5)^2}\\\\=\boxed{3x\sqrt{5}+6\sqrt{10x}+5\sqrt{3x}+10\sqrt{6}}$

The applicable rules of roots are ...

(√a)(√b) = √(ab)

√(ab²) = b√a

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Ответ:

davidoj13

14.05.2022

Mathematics

There are to types of sequence , an arithmetic sequence and geometric sequence. an arithmetic sequence has a common difference, while a geometric sequence has common ratio.
fist let us try if they have a common difference
D = a2 - a1 = ( 13 4/5) - ( 14 3/10 ) = - 1 / 2

D = a3 - a2 = ( 13 3/10) - ( 13 4/5) = - 1 / 2
so they have a common difference then it is a arithmetic sequence

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