Why do we need to estimate the square root or cube root?

Estimating the square root or cube root of a number can be useful in various real-world situations. For example, estimating the square root can help us quickly determine if a number is a perfect square or not, or approximately calculate the length of a side of a square when given the area.

Estimating the cube root can help us quickly approximate the side length of a cube when given the volume, or estimate the amount of a substance needed for a particular application.

In general, estimating roots allows us to quickly make approximate calculations and make informed decisions without having to perform exact and time-consuming calculations. It also helps us develop our number sense and mental math skills.