Question

How do you simplify `sqrt67/sqrt7`?

Answer 1

When we simplify this problem, we are rationalizing the denominator.

For info on how to do this, check this site out: http://www.purplemath.com/modules/radicals5.htm

Now, let's solve this problem:

First thing, we multiply the expression by `sqrt(7)/sqrt(7)`. We can do this because `sqrt(7)/sqrt(7)` is simply 1, and multiplying something by 1 doesn't change the nature of the expression.

So, our expression is this: `sqrt(67)/sqrt(7) * sqrt(7)/sqrt(7)`

Multiplying, we get: `sqrt(469)/sqrt(49)`

Since `sqrt(49)` simplifies to 7, we get: `sqrt(469)/7`

Since, `sqrt(469)` is not something we can simplify, our final answer is: `sqrt(469)/7`

Answer 2

In a calculator, the answer is `3.09377254682`

If by simply, you mean to rationalize the denominator, multiple both the numerator and the denominator by `sqrt(7)`:

`(sqrt(67)/sqrt(7)) = ((sqrt(67) * sqrt(7)) / 7) = sqrt(469)/7`