Question

20. simplify each of the following: see the above picture
and get 40 points
​

Answer 1

Answer:

$i)14 + 4 \sqrt{6}$

$ii) \sqrt{10} + 28$

$iii) 243$

Step-by-step explanation:

$i)(2 \sqrt{3} + \sqrt{2} {)}^{2}$

➡️ $12 + 4 \sqrt{6} + 2$

➡️ $14 + 4 \sqrt{6}$ ✅

●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●

$ii)(3 \sqrt{5} - \sqrt{2} ) \times ( \sqrt{2} + 2 \sqrt{5} )$

➡️ $3 \sqrt{10} + 30 - 2 - 2 \sqrt{10}$

➡️ $\sqrt{10} + 28$ ✅

●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●

$iii)3 \sqrt{81} \times 3 \sqrt{9}$

➡️ $3 \times 9 \times 3 \times 3$

➡️ $243$ ✅