Question

How do you simplify `2sqrt50 - 3sqrt8`?

Answer 1

`4\sqrt{2}`

Explanation:

`2\sqrt{50}-3\sqrt{8}`

factor the square root value into prime numbers `2\sqrt{5\cdot5\cdot2}-3\sqrt{2\cdot2\cdot2}`

combine the square values
`2\sqrt{5^2\cdot2}-3\sqrt{2^2\cdot2}`

factor out the squares and simplify
`2(5)\sqrt{2}-3(2)\sqrt{2}=10\sqrt{2}-6\sqrt{2}=\color{indianred}{4\sqrt{2}}`