How do you simplify #sqrt5*sqrt15#?

1 Answer
Shannon
Mar 22, 2017

#5sqrt(3)#

Explanation:

When multiplying radicals, you can just multiply the numbers under the root symbol and put them under a single root symbol.
Ex: #sqrt(5) times sqrt (15)# = #sqrt (5 times 15)#
Thus, this can be rewritten as #sqrt (25 times 3)#
This is the same as #sqrt(25) times sqrt (3)#
The square root of 25 is 5, so the final answer is
#5sqrt(3)#

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