<img src="https://tex.z-dn.net/?f=%5Cleft%284%2B%5Csqrt%7B6%7D%5Cright%29%5Cleft%2810%2B%5Csqrt%7B6%7D%5Cright%29" id="TexFormul

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3 years ago

a1" title="\left(4+\sqrt{6}\right)\left(10+\sqrt{6}\right)" alt="\left(4+\sqrt{6}\right)\left(10+\sqrt{6}\right)" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Zepler [3.9K]3 years ago

6 0

Answer:

$46 + 14\sqrt6$

Step-by-step explanation:

Hello!

Multiply by distributing:

$(4 + \sqrt6)(10 + \sqrt 6)$

$4(10 + \sqrt 6) + \sqrt6 (10 + \sqrt6)$ Distribute 4 + √6

$40 + 4\sqrt6 + 10\sqrt6 + \sqrt {36$ Multiply

$40 + 14\sqrt6 + 6\\$ Simplify

$46 + 14\sqrt6$ Simplify

The final answer is 46 + 14√6

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