Question

Not a timed or graded assignment. Need full work shown. Quick answer with work = amazing review. Please draw factor tree.

Answer 1

A factor tree can decompose each number into factors, and then those factor are decomposed into another factors until we reach all prime factors.

In this case, we have a square root in the expression, so we will find the factors of the argument to see if we can simplify it.

The factor tree can be drawn as:

Then, we can write and simplify the expression as:

`\begin{gathered} -4\sqrt[]{98} \\ (-1)\cdot2\cdot2\cdot\sqrt[]{2}\cdot\sqrt[]{7}\cdot\sqrt[]{7} \\ -1\cdot2^2\sqrt[]{2}\cdot(\sqrt[]{7})^2 \\ -1\cdot4\sqrt[]{2}\cdot7 \\ -28\sqrt[]{2} \end{gathered}`

Answer: the simplified radical form is -28√2