Question

Go step by step to reduce the radical. 208 DVD try You must answer all questions above in order to submit.

Answer 1

We are given the following radical

`\sqrt[\square]{208}`

Let us simplify the above radical.

We need to break the number 208 into the product of two factors

Notice that 16 and 13 are the two factors (16×13 = 208)

So, the radical becomes

`\sqrt[]{208}=\sqrt[]{16\cdot13}=\sqrt[]{16}\cdot\sqrt[]{13}`

Since 16 is a perfect square

`\sqrt[]{16}\cdot\sqrt[]{13}=4\cdot\sqrt[]{13}`

Therefore, the simplified radical is

`4\sqrt[]{13}`