Simplify the following: ⁴√81 - 8 ³√216 +15 ⁵√32 +√225

Описание: Simplify the following: ⁴√81 - 8 ³√216 +15 ⁵√32 +√225

Solution:

Given, the expression is 4√81−83√216+155√32+√225814−82163+15325+225

We have to simplify the expression.

4√81=(81)14=(34)14=3814=(81)14=(34)14=3

3√216=(216)13=(63)13=62163=(216)13=(63)13=6

5√32=(32)15=(25)15=2325=(32)15=(25)15=2

√225 = 15

Now, 4√81−83√216+155√32+√225814−82163+15325+225 = 3 - 8(6) + 15(2) + 15

= 3 - 48 + 30 + 15

= 3 - 48 + 45

= 48 - 48

= 0