Question

Can someone help with this plz

Answer 1

For this case we must simplify the following expression:

`\sqrt {\frac {16} {25}}`

We can rewrite 16 as:
`2 ^ 4 = 2 * 2 * 2 * 2`

We can rewrite 25 as:
`5 ^ 2 = 5 * 5`

`\sqrt {\frac {2 ^ 4} {5 ^ 2}} =\\\frac {\sqrt {2 ^ 4}} {\sqrt {5 ^ 2}} =`

By definition of properties of powers and roots we have:

`\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}`

Then, rewriting the expression:

`\frac {2 ^ 2} {5} =\\\frac {4} {5}`

Answer:

`\frac {4} {5}`