Question

How do you solve 2√31 divided by 2√17 (please describe how)

Answer 1

`\large\boxed{(2√(31))/(2√(17))=(√(527))/(17)}`

Explanation:

`(2√(31))/(2√(17))=(2\!\!\!\!\diagup^1√(31))/(2\!\!\!\!\diagup_1√(17))=(√(31))/(√(17))\cdot(√(17))/(√(17))=(√(31\cdot17))/(17)=(√(527))/(17)\\\\\text{Used}\\\\√(ab)=√(a)\cdot√(b)\\\\√(a)\cdot√(a)=a`