Question

If x -√2=√8, then what is the value of x?

Answer 1

x = 3
`√(2)`

step-by step:

x -√2=√8

x =
`√(12)`

x =
`√(6 * 2)`

x =
`√(2 * 2 * 3)`

x = 3
`√(2)`

Answer 2

x = 3 sqrt(2)

Explanation:

x -√2=√8

Add sqrt(2) to each side

x - sqrt(2) + sqrt(2) = sqrt(8)+ sqrt(2)

x = sqrt(8)+ sqrt(2)

Rewriting sqrt(8) as sqrt(4) sqrt(2) = 2 sqrt(2)

x = 2 sqrt(2)+ sqrt(2)

x = 3 sqrt(2)