Question

What is Square root of 2 - square root of 8 + 5 square root 18?

Answer 1

`sqrt2 - sqrt8 +5sqrt18`

• `sqrt8 = color(blue)(2sqrt2`
• `sqrt18 = color(red)(3sqrt2`
  `5sqrt18 = 5 . color(red)(3sqrt2) = color(red)(15sqrt2`

rewriting the expression as:

`sqrt2 - color(blue)(2sqrt2+ color(red)(15sqrt2`

`(15sqrt2 - 2sqrt2 = 13sqrt2)`

`=sqrt2 + 13sqrt2`
`=color(green)(14sqrt2`
`approx color(green)(19.796`