Question

Question #66f34

Answer 1

Split up radical into equal terms and simplify any perfect squares. Multiply it with the coefficient.

Explanation:

To simplify a radical, we can "split up" the radical into perfect squares.

Let's just ignore the `7` completely for now and just focus on the radical.

Do you agree that `sqrt50 = sqrt25sqrt2`? Check your calculator.

Notice how `sqrt25=5`. Therefore, we can simplify the expression like so:

`7sqrt50`

`=7sqrt25sqrt2`

`=7(5)sqrt2`

`=35sqrt2`

Keep in mind that these terms are all being multiplied with one another.

We can check our work by using a calculator and comparing answers.

`7sqrt50=49.49747468`

`35sqrt2=49.49747468`

The expression has now been simplified, since it cannot be simplified any more.

Hope this helps :)