Question

What is the square root of 21 + square root of 35?

Answer 1

`sqrt(7)(sqrt(3)+sqrt(5))` `~~ 10.5`

Explanation:

Factor the numbers to see if there are any common values that can be extracted.
`sqrt(21) +sqrt(35) = sqrt(7*3) +sqrt(7*5)`
`sqrt(7)(sqrt(3)+sqrt(5))`
`7, 3` and `5` are all prime numbers so the only was this can be taken further is by looking up the values
`~~2.65(1.73 + 2.24)`
`~~ 10.5`