What is the square root of 180

The square root would be 13.416

To find square root of 180, we first factor it out.

To find the factors of 180, we make a tree diagram.

180 can be written in factor form as : -

180 = 2 * 2 * 3 * 3 * 5

Here 2 comes twice, 3 comes twice and 5 comes only once.

This can be rewritten as

180 = 2^2 ˣ 3^2 ˣ 5

Taking Square root both sides, we get

√ (180) = √ (2^2 * 3^2 * 5)

[Power of 2 got cancelled with square root sign. Thus we left with 2 and 3 and square root 5 ]

This gives 2 * 3 * √ 5 = 6 √ 5

We know value of square root 5 is 2.236.

Thus square root of 180 is 6 √5 = 6 * 2.236 = 13.4164.