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andrezito [222]
3 years ago
7

Tentukan hasil dari (2√3–5√7)(2√3–5√7)= pakai cara

Mathematics
1 answer:
svlad2 [7]3 years ago
6 0

Answer:

solving the expression \left(2\sqrt{3}-5\sqrt{7}\right)\:\left(2\sqrt{3}-5\sqrt{7}\right) we get \mathbf{187+20\sqrt{21}}

Step-by-step explanation:

We need to solve: \left(2\sqrt{3}-5\sqrt{7}\right)\:\left(2\sqrt{3}-5\sqrt{7}\right)

We can write it as:

\left(2\sqrt{3}-5\sqrt{7}\right)\:\left(2\sqrt{3}-5\sqrt{7}\right)\\=\left(2\sqrt{3}-5\sqrt{7}\right)^2

We can use formula: a^2-b^2=a^2-2ab+b^2

=\left(2\sqrt{3})^2-2(2\sqrt{3})(-5\sqrt{7})+(-5\sqrt{7}\right)^2\\=4(3)+20\sqrt{3}\sqrt{7}+25(7)\\=12+20\sqrt{3\times 7}+175\\=187+20\sqrt{21}

So, solving the expression \left(2\sqrt{3}-5\sqrt{7}\right)\:\left(2\sqrt{3}-5\sqrt{7}\right) we get \mathbf{187+20\sqrt{21}}

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