Question

Combine the radicals. 2√24+5√54 A) 53√6 B) 5√6 C) 19√6 D) 93√6

Answer 1

The answer is option C

Explanation:

2√24 + 5√54

To combine the radicals first make sure the radicals have the same square root

That's

For 2√24

`2 √(24) = 2 √(4 * 6) = 2 * 2 √(6)`

`= 4 √(6)`

For 9√54

`5 √(54) = 5 √(9 * 6) = 5 * √(9) * √(6)`

`= 5 * 3 * √(6)`

`= 15 √(6)`

Since they have the same square root we can combine them

That's

`4 √(6) + 15 √(6) = (4 + 15) √(6)`

We have the final answer as

`19 √(6)`

Hope this helps you