Question

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">

Answer 1

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