Question

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

Answer 1

Answer:

The answer is option C

Step-by-step explanation:

2√24 + 5√54

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

That's

For 2√24

$2 \sqrt{24} = 2 \sqrt{4 \times 6} = 2 \times 2 \sqrt{6}$

$= 4 \sqrt{6}$

For 9√54

$5 \sqrt{54} = 5 \sqrt{9 \times 6} = 5 \times \sqrt{9} \times \sqrt{6}$

$= 5 \times 3 \times \sqrt{6}$

$= 15 \sqrt{6}$

Since they have the same square root we can combine them

That's

$4 \sqrt{6} + 15 \sqrt{6} = (4 + 15) \sqrt{6}$

We have the final answer as

$19 \sqrt{6}$

Hope this helps you