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

Sagot :

The expression is:

[tex]\sqrt[]{98m^{12}}[/tex]

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:

[tex]\sqrt[]{2\cdot7^2m^{12}}[/tex]

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.

[tex]7^{}\sqrt[]{2}m^6[/tex]

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

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