Express each number in its simplest radical form. √6⋅√60=?

Mathematics

2 answers:

kvv77 [185]3 years ago

6 0

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.

Tom [10]3 years ago

5 0

Answer:

6√10

Step-by-step explanation:

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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