Combine the radicals 5sqrt27-17sqrt3
2 answers:
Answer:
-2 sqrt3.
Step-by-step explanation:
sqrt27 = sqrt9 * sqrt3
= 3 sqrt3 So:
5sqrt27 - 17sqrt3
= 5*3 sqrt3 - 17 sqrt 3
= 15 sqrt 3 - 17 sqrt 3
= -2 sqrt3.
For this case we must simplify the following expression:

We have to:

Substituting in the expression we have:

For properties of powers and roots we have:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
So:

We subtract taking into account that different signs are subtracted and the sign of the major is placed:

Answer:

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