Question

How to solve( root 3 +1 ÷ 2 )×8

Answer 1

GIVEN BELOW IS THE METHOD

8sqrt{3+1} /2 = 4 sqrt{3+1} = 4sqrt{4} = 4(2) = 8

Answer 2

$( \sqrt{3 + 1 \div 2} \: ) \times 8 \\ = \sqrt{3 + 0.5} \: ) \times 8 \\ = \sqrt{3.5} \times 8 \\ = 8 \sqrt{3.5} \\ = 8 \sqrt{ \frac{35}{10} } \\ = 8 \sqrt{ \frac{7}{2} } \\ = 8 \times \frac{ \sqrt{7} }{ \sqrt{2} } = \frac{8 \sqrt{7} }{ \sqrt{2} } \\ = \frac{8 \sqrt{7} \times \sqrt{2} }{ \sqrt{2} \times \sqrt{2} } \\ = \frac{8 \sqrt{14} }{ 2 } \\ = 4 \sqrt{14}$