Express in simplest radical form.

2, square root of, 200, end square root, minus, 10, square root of, 2, end square root
2
200

−10
2

5 answers

2√200 - 10√2

To simplify this expression, we need to find any perfect square factors in the radical.

√200 = √(100 × 2) = √100 × √2 = 10√2

Now we can substitute this value back into the expression:

2(10√2) - 10√2

20√2 - 10√2

The two radical terms have the same radical, so we can combine them:

(20 - 10)√2

10√2

Therefore, the expression simplifies to 10√2.
Express in simplest radical form.
minus, 5, square root of, 5, end square root, minus, 4, square root of, 5, end square root
−5
5

−4
5
To express the expression (-5√5 - 4√5) in simplest radical form, we need to combine the like terms.

Both terms have the same radical, which is √5. So we can combine the coefficients:

(-5 - 4)√5

Simplifying further:

-9√5

Therefore, the expression (-5√5 - 4√5) simplifies to -9√5.
Express in simplest radical form.
minus, 5, square root of, 6, end square root, minus, 7, square root of, 6, end square root
−5
6

−7
6
To express the expression (-5√6 - 7√6) in simplest radical form, we need to combine the like terms.

Both terms have the same radical, which is √6. So we can combine the coefficients:

(-5 - 7)√6

Simplifying further:

-12√6

Therefore, the expression (-5√6 - 7√6) simplifies to -12√6.