Question

What is the solution to the equation1 over the square root of 8 = 4(m − 2)? (1 point)

Answer 1

Rationalize the denominator, divide by 4, add 2.

`(1)/(√(8))=4(m-2)\\\\ \sqrt{(2)/(16)}=4(m-2)\\\\ (√(2))/(4\cdot 4)=m-2\\\\ m=2+(√(2))/(16)`