Question

Pls tell the answer of circled question with solution​

Answer 1

Step-by-step explanation:

$i) \: \: \: \: \: \: \sqrt{45} - 3 \sqrt{20} + 4 \sqrt{5} = 3 \sqrt{5} - 3 \times 2 \sqrt{5} + 4 \sqrt{5} \\ \\ = 3 \sqrt{5} - 6 \sqrt{5 } + 4 \sqrt{5} \\ \\ = 3 \sqrt{5} - 2 \sqrt{5} \\ \\ = \sqrt{5}$

$ii) \: \: \: \: \: \: \: \sqrt[4]{12} \: \: \: \: \times \: \: \: \: \sqrt[7]{6} = {12}^{ \frac{1}{4} } \: \: \: \: \times \: \: \: \: {6}^{ \frac{1}{7} } \\ \\ = {2}^{ \frac{1}{4} } . {3}^{ \frac{1}{4} } . {2}^{ \frac{1}{7} } . {3}^{ \frac{1}{7} } \\ \\ = {2}^{ \frac{11}{28} } . {3}^{ \frac{11}{28} } \\ \\ = {6}^{ \frac{11}{28} } \\ \\ = \sqrt[28]{ {6}^{11} }$