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

Mathematics

2 answers:

Alisiya [41]3 years ago

8 0

Answer:

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

Step-by-step explanation:

Use the distributive property and the rules of roots.

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

(a√b)(c√d) = (ac)√(bd)

√(a²b) = a√b

aleksandrvk [35]3 years ago

5 0

Answer:

The answer is D on EDGE 2020

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What is the pattern in the values as the exponents increase? Powers of 2 Value 2 Superscript negative 5 StartFraction 1 Over 32

Tatiana [17]

Answer:

(D)Multiply the previous value by 2

Step-by-step explanation:

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