Question

What is 2√20 - 4√45 + 7√12 in simplest radical form? Show your work!

Answer 1

`14√(3)-8√(5)`

Explanation:

we have

`2√(20)-4√(45)+7√(12)`

we know that

`2√(20)=2\sqrt{2^(2)5} =2(2)√(5)=4√(5)`

`4√(45)=4\sqrt{3^(2)5} =4(3)√(5)=12√(5)`

`7√(12)=7\sqrt{2^(2)3} =7(2)√(3)=14√(3)`

substitute the values in the expression above

`4√(5)-12√(5)+14√(3)`

Combine like terms

`14√(3)-8√(5)`