Which triangle is correctly labeled?

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Ответ:

20calzoy

28.08.2021

Mathematics

$\frac{36+9 \sqrt{7} +4 \sqrt{2} + \sqrt{14} }{9}$

Explanation:

1) Expression given:

$\frac{9+ \sqrt{2} }{4- \sqrt{7} }$

2) Rationalize by multiplying and dividing by the conjugate of the denominator

$\frac{(9+ \sqrt{2} )}{(4- \sqrt{7} )} \frac{(4 + \sqrt{7} )}{(4+ \sqrt{7} )}$

3) Due the operations

$\frac{9(4)+9 \sqrt{7} +4 \sqrt{2} + \sqrt{14} }{4^2-7} =$

$\frac{36+9 \sqrt{7} +4 \sqrt{2} + \sqrt{14} }{9}$

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