Roots and Irrational Numbers Unit Test

Question

Math 8 Q2 (Pre-Algebra) / Roots and Irrational Numbers

simplify √54

Answer 1

To simplify √54, we can look for perfect square factors of 54.

The prime factorization of 54 is 2*3*3*3, which can also be written as 2*3^3.

We can see that 3^2 = 9 is a perfect square factor of 54.

So, we can simplify √54 as follows:

√54 = √(2*3^2*3) = √(3^2 * 2*3) = √(3^2) * √(2*3) = 3√2√3

Therefore, the simplified form of √54 is 3√2√3.