Question

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

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Answer 1

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)`

Answer 2

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