The quotient of 9 and c

Mathematics

1 answer:

Fynjy0 [20]3 years ago

5 0

Answer:

The quotient of a number and 9 means n divided 9.

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Answer:

$\huge\boxed{\sqrt{10+4\sqrt6}=\sqrt6+2}$

Step-by-step explanation:

$\sqrt{10+4\sqrt6}=\sqrt{6+4+(2)(2)(\sqrt6)}=\sqrt{\underbrace{(\sqrt6)^2}_{=6}+(2)(2)(\sqrt6)+\underbrace{2^2}_{=4}}\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\=\sqrt{(\sqrt6+2)^2}\\\\\text{use}\ \sqrt{a^2}=|a|\\\\=|\sqrt6+2|=\sqrt6+2$

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STatiana [176]

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