Question

Simplify (sqrt)98m^12 using factor tree or splitting up using perfect squares. Quick answer showing work = amazing review :)

Answer 1

The expression is:

$\sqrt[]{98m^{12}}$

We need to use a factor tree to solve the problem. We will draw it as shown below:

According to the factor tree we can represent the 98 as:

$\sqrt[]{2\cdot7^2m^{12}}$

We can now remove the terms that have a power of 2 and a power of 12. For that we need to divide the exponents by 2.

$7^{}\sqrt[]{2}m^6$

The simplified expression is 7*sqrt(2)*m^6.