Can someone please show me the simplifying steps for ( 5 2 ) ( 2 18 ) = 60

Question

Can someone please show me the simplifying steps for   (  5      2    )  (  2      18    )  =  60

vidovitogv5 · Accepted Answer

Step 1When dealing with square roots, you can always pull out a perfect square from under the radical. In the second part, where it says   (  2      18    ) ,   9  ×  2  =  18 , and nine is a perfect square, so you can so this:  2      18    =  2      9    ×    2  From here, you can take the square root of 9, and move it to in front of the radical.  2      18    =  2  ×  3      2      2      18    =  6      2  Now you are going to want to multiply the first part of the problem, with the new simplified second part.  (  5      2    )  (  6      2    )Since the two radicals are the same, you can multiply them, and they cancel out. You are left with what was underneath one of them.      2    ×      2    =  2Simplify that with the previous problem, like so.  5  ×  6  ×  2  =  60

Seamus Mcknight · Accepted Answer

Step 1  (  5      2    )  (  2      18    )    (  5  ×  2  )  (      2    ×      18    )    (  10  )  (      2    )  (            3      2        ×    2    )    (  10  )  (      2    )  (            3      2        )  (      2    )Note:       2    ×      2    =  2 and             3      2        =  3  (  10  )  (  2  )  (  3  )  =  60

Can someone please show me the simplifying steps for (5 sqrt2)(2 sqrt(18))=60

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