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hodyreva [135]
4 years ago
9

What is the following product? (2 sqrt 7 + 3 sqrt 6)(5 sqrt 2 + 4 sqrt 3

Mathematics
2 answers:
irina [24]4 years ago
7 0

Answer:

10\sqrt{14} +8\sqrt{21} + 30\sqrt{3} +36\sqrt{2}\\

Step-by-step explanation:

(2\sqrt{7} + 3\sqrt{6} )(5\sqrt{2} +4\sqrt{3} )\\= 10\sqrt{14} +8\sqrt{21} + 15\sqrt{12} +12\sqrt{18} \\=10\sqrt{14} +8\sqrt{21} + 15\sqrt{4*3} +12\sqrt{9*2} \\= 10\sqrt{14} +8\sqrt{21} + 15*2\sqrt{3} +12*3\sqrt{2} \\=10\sqrt{14} +8\sqrt{21} + 30\sqrt{3} +36\sqrt{2} \\\\

Hope this helps!

bezimeni [28]4 years ago
5 0

Answer:

(2√7 + 3√6) x (5√2 + 4√3)

Multiply the parentheses

= 10√14 + 8√21 + 15√12 + 12√18

= 10√14 + 8√21 + 30√3 + 12√18

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