Question

How do you simplify `2sqrt28-5sqrt63`?

Answer 1

`-11 sqrt 7`

Explanation:

first factorize `sqrt 28`, we get `sqrt[2.2.7] = 2 sqrt 7`

Next factorize `sqrt63 = sqrt[3.3.7] = 3sqrt 7`

Now the whole expression = `2.2 sqrt 7 - 5.3 sqrt 7`

`rArr sqrt 7 [4 - 15]`

`rArr -11 sqrt 7`