Question

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

Answer 1

6√10

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.

Answer 2

6√10

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