Question

Not a timed or graded assignment. Quick answer = amazing review :)

Answer 1

The question is given to be:

`\sqrt[]{(64)/(100)}`

Recall the rule:

`\sqrt[]{(a)/(b)}=\frac{\sqrt[]{a}}{\sqrt[]{b}}`

Therefore, the expression becomes:

`\sqrt[]{(64)/(100)}=\frac{\sqrt[]{64}}{\sqrt[]{100}}`

Recall that:

`\begin{gathered} 8*8=64,\therefore\sqrt[]{64}=8 \\ \text{and} \\ 10*10=100,\therefore\sqrt[]{100}=10 \end{gathered}`

Hence, the expression becomes:

`\frac{\sqrt[]{64}}{\sqrt[]{100}}=(8)/(10)`

Dividing through by 2, we have:

`(8)/(10)=(4)/(5)`

Therefore, the answer is:

`\sqrt[]{(64)/(100)}=(4)/(5)`