Question

How do you multiply `sqrt5^6`?

Answer 1

It is 125

Explanation:

You can calculate this in (at least) 2 ways:

1) `sqrt(5)^6=(sqrt(5)sqrt(5))(sqrt(5)sqrt(5))(sqrt(5)sqrt(5))=5*5*5=125`

2)
You can use the laws of power operations

• Write `sqrt(5)` as `5^(1/2)` to get: `sqrt(5)^6=(5^(1/2))^6`
• Use the law that: `(a^b)^c=a^(b*c)` to get:
  `(5^(1/2))^6=5^(1/2*6)=5^3=125`