Question

What is 2√54 + 5√24 in simplified radical form?

Answer 1

Steps:

$2\sqrt{5}\cdot \:4+5\sqrt{2}\cdot \:4$

$\mathrm{Multiply\:the\:numbers:}\:2\cdot \:4=8$

$=8\sqrt{5}+5\cdot \:4\sqrt{2}$

$\mathrm{Multiply\:the\:numbers:}\:5\cdot \:4=20$

$=8\sqrt{5}+20\sqrt{2}$

$Answer = =8\sqrt{5}+20\sqrt{2}$

Answer 2

Answer:

21√6

Step-by-step explanation:

Here we are to combine 2√54 and 5√24, and want to find any factor that these two quantities may have in common.

2√54 can be factored:  2√54 = 2√9√6, or 2[√6√9], or 6√6

Similarly, 5√24 =5√6√9, or 15[√6]

These two results can and should be added together:  7*3√6 = 21√6