Question

simplify (4+√6) (3+√6)​

Answer 1

Answer: 18+7$\sqrt{6}$

Step-by-step explanation:

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Answer 2

Simplify

Step-by-step explanation:

(4 + √6) (3 + √6)​

We will open the open the braces and multiply them.

The equation by considering the following equations:

  (a + b) (c + b)

= ac + ab +bc + bb

= ac + ab + bc + b²

Now, we will solve (4 + √6) (3 + √6)​ taking the above as reference.

$= (4 \times 3) + (4 \times \sqrt{6} ) + (\sqrt{6} \times 3) + (\sqrt{6} \times \sqrt{6})$

$\\\\= (4 \times 3) + (4 \times \sqrt{6} ) + (\sqrt{6} \times 3) + (\sqrt{6} )^{2}$

$\\\\ = (4 \times 3) + (4 \times \sqrt{6} ) + (\sqrt{6} \times 3) + 6$

$\\\\= 12 + 4\sqrt{6} + 3\sqrt{6} +6$

$= 18 + \sqrt{6} (4 +3 )$

$\\\\= 18 + 7\sqrt{6}$

Hence, simplified.