Question

Which expression is equivalent to 5^3√6c+7^3√6c, if c ≠ 0

Answer 1

Option C

Explanation:

complete question

A. 35[3]6cB. 12[3]12cC. 12[3]6cD.72c

The given equation can be written as

5^3√6c+7^3√6c

5 *
`√(3 *3*2c)` + 7 *
`√(3 *3*2c)`

5 * 3 *
`√(2c)` + 7 * 3 *
`√(2c)`

15 *
`√(2c)` + 21 *
`√(2c)`

36 *
`√(2c)`

12 [3]*
`√(2c)`

Option C is correct