Question

Determine if 3√10 /4 is in simplest form. if the expression is not in simplest form explain why? HELP PLEASE

Answer 1

The notation in its current form isn't entirely clear.

Did you mean to write
`(3√(10))/(4)`? The 4 isn't in the square root.

If so, then the expression is in simplest form because we cannot simplify
`√(10)` any further (note how 10 doesn't have any perfect square factors other than 1).

Also, the 3/4 portion is fully reduced already.

------------------------

Or,

Did you mean to write
`3\sqrt{(10)/(4)}` ? This time the 4 is inside the square root.

If so, then we can simplify like this

`3\sqrt{(10)/(4)}\\\\(3√(10))/(√(4))\\\\(3√(10))/(2)\\\\`

This means that
`3\sqrt{(10)/(4)}=(3√(10))/(2)\\\\`