Question

Simplify square root of 180

Answer 1

=> √180

=> √36 × √5

=> 6 √5

∴ root 180 can be simplified to 6 times root 5

Answer 2

Step-by-step explanation: To simplify the square root of 180, we will break down the square root of 180 by using a factor tree. We will find that we have a pair of 2's and a pair of 3's which means that a 2 and a 3 will come out of the radical leaving a 5 inside so the answer is
`\sqrt[6]{5}`.

180 factors as 2 x 90, 90 factors as 2 x 45, 45 factors as 5 x 9, and 9 factors as 2 x 3. I have also attached my work in the image provided.