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What is 2√54 + 5√24 in simplified radical form?
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I really hope this question doesn’t get removed again or please tell me why it got removed.

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madelinethien

Steps:

[tex]2\sqrt{5}\cdot \:4+5\sqrt{2}\cdot \:4[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:4=8[/tex]

[tex]=8\sqrt{5}+5\cdot \:4\sqrt{2}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:5\cdot \:4=20[/tex]

[tex]=8\sqrt{5}+20\sqrt{2}[/tex]

[tex]Answer = =8\sqrt{5}+20\sqrt{2}[/tex]

altavistard

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

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