-5x the square root of 7-14 x the square root of 7

Expert Answers
Neethu eNotes educator| Certified Educator

We have to evaluate,

`-5\sqrt{7}-14\sqrt{7}=\sqrt{7}(-5-14)`      (Taking `\sqrt{7}` common)

                  `=\mathbf{-19\sqrt{7}}`

sid-sarfraz | Student

Question:-

-5x the square root of 7-14 x the square root of 7

`-5sqrt(7)-14sqrt(7)=?`

SOLUTION:-

`-5sqrt(7)-14sqrt(7)`

Since the radicals are same therefore we will be Taking `sqrt7`  common and then combine them:-

`=sqrt7(-5-14)`

`=sqrt7(-19)`

``

After simplifying and taking sqrt(7) common, and further simplification, we get the following answer that cannot be further simplified.

`-19sqrt7`

Therefore this is the final answer.

Hence Solved!

simplelucker | Student

The simplification of  involves operation of radicals(i.e an expression that has a squareroot, cube root etc.).

Since the radical is the same in each term we can combine the terms.

So, 

Therefore, the required annswer is  .

mathewww | Student

The simplification of `-5*sqrt7-14*sqrt7` involves operation of radicals(i.e an expression that has a squareroot, cube root etc.).

Since the radical is the same in each term we can combine the terms.

So, `-5*sqrt7-14*sqrt7`

`=sqrt7(-5-14)`

`=-19sqrt7`

Therefore, the required annswer is `-19sqrt7` .

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