Question

If `a=5sqrt2` and `2a=sqrt(2x)`, what is the value of `x`?

Answer 1

`x=100`

Explanation:

`a=5sqrt2`
or
`2a=2(5)sqrt2`
or
`2a=10sqrt2`
Since`2a=sqrt(2x)`
`sqrt(2x)=10sqrt2`
Squaring bothe the sides we get
`2x=100(2)`
or
`2x=200`
or
`x=100`