Question

Simplify [(8)½÷(27)⅓] × [(9)½÷(4)½]​

Answer 1

Answer:

√2

Step-by-step explanation:

$( \sqrt[2]{8} \div \sqrt[3]{27} ) \: \times \: ( \sqrt[2]{9} \div \: \sqrt[2]{4} \: ) \\ \\ = > (2 \sqrt{2} \div 3 \: ) \times (3 \div 2) \\ \\ = > \: (2 \sqrt{2} \div 2) \: \times \: (3 \div 3) \\ \\ = > ( \sqrt{2} \: )$

Answer 2

Step-by-step explanation:

$( \sqrt{8} \div \sqrt[3]{27}) \times ( \sqrt{9} \div \sqrt{4} ) \\ = (2 \sqrt{2} \div 3) \times (3 \div 2) \\ = \frac{2 \sqrt{2} }{3} \times \frac{3}{2} \\ = \sqrt{2}$