Respuesta :

Answer:

It is the second option

Step-by-step explanation:

[tex] 3\sqrt{ 10} + 7 \sqrt{15} - 6 \sqrt{10} - 4 \sqrt{15} [/tex]

[tex]3\sqrt{10} - 6 \sqrt{10}+ 7 \sqrt{15} - 4 \sqrt{15} [/tex]

[tex] - 3\sqrt{ 10} + 3 \sqrt{15} [/tex]

[tex] 3\sqrt{ 15} + - 3 \sqrt{10} [/tex]

Hey brother.

The question whants that we simplify the numerical expression:

3√10 + 7√15 - 6√10 - 4√15

To simplify this, we'll add the terms that have the same radical, adding the coefficients and preserving the radical.

To facilitate i'll keep those with the same radical nearby and put them coefficients in evidence.

Look:

3√10 -6√10 +7√15 -4√15

(-6+3)√10 + (7-4)√15

-3√10 + 3√15 (Now we can put the three in evidence, but this is the answer - the second alternative)

3*(-1√10+1√15)