Question

simplify 7^1/2*8^1/2​

Answer 1

$\huge \tt \: Solution:- \\ \\ \large \longmapsto \tt \: 7 ^{ \frac{1}{2} } \times \: 7^{ \frac{1}{2} } \\ \\ \large \longmapsto \tt \ \: \sqrt{7} \times 8^{ \frac{1}{2} } \\ \\ \large \longmapsto \tt \ \: \sqrt{7} \times 2 \sqrt{2} \\ \\ \large \longmapsto \tt \ \: 2 \sqrt{2 \times 7} \: \\ \\ \pink{\boxed{\large \longmapsto \tt \ \: 2 \sqrt{14} }}$