Question

What is this expression in simplified form?

Answer 1

`15√(5)`

Explanation:

simplify
`√(20)` and
`3√(50)`

`√(20)` simplifies into
`√(5)`

so
`√(20)` =
`√(4) √(5)`

we can simplify
`\sqrt{4` into a whole number

`\sqrt{4` =2

= 2
`√(5)`

`\sqrt{50` simplifies into
`\sqrt{2`

so
`\sqrt{50` =3(
`√(25) √(2)`)

we can simplify
`√(25)` into a whole number

`\sqrt{25` = 5

= 15
`\sqrt{2`

then we add these simplified roots back into the question

2
`√(5)` +
`5\sqrt{2` -
`2\sqrt{5`

we simplify again as
`2\sqrt{5` cancels out

to get a final answer of:

`15√(5)`