Answer:
6√10
Step-by-step explanation:
Divide √6 and √60 by 6.
This results the leftover of √60 to √10
Since you divide them by 6, you put the number 6 outside then the radical sign and then the leftover.
factorizing 6 and 60
6 = 2 x 3
60 = 2 x 2 x 3 x 5
hence
√6 · √60
= √ [ (2 x 3) · (2 x 2 x 3 x 5) ]
= √ (2· 2² · 3² · 5)
= √ (2² · 3²) x √(2·5)
= (2 · 3) x √10
= 6√10
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