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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.

User Mottosson
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2 Answers

4 votes

Steps:


2√(5)\cdot \:4+5√(2)\cdot \:4


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


=8√(5)+5\cdot \:4√(2)


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


=8√(5)+20√(2)


Answer = =8√(5)+20√(2)

User Augurar
by
8.1k points
5 votes

Answer:

21√6

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

User Marinelle
by
8.4k points

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