Question

A(describe how to simplify the radical in wordsb(simplify the radical completely

Answer 1

ANSWER and EXPLANATION

a) To simplify the radical, we have to:

1) First, express the number inside the radical as a product of a perfect square and a number that is not a perfect square.

2) Next, we separate the numbers into two radicals and find the square root of the perfect square.

3) Finally, we find the product of the number and the remaining radical.

B) Following the steps above:

STEP 1

`\sqrt[]{98}=\sqrt[]{49\cdot2}`

STEP 2

`\begin{gathered} \sqrt[]{49}\cdot\sqrt[]{2} \\ 7\cdot\sqrt[]{2} \end{gathered}`

STEP 3

`7\sqrt[]{2}`