Question

What is the product of five square root five times six square root four ? Simplify your answer.

Answer 1

60 square root of 5 is the answer

Answer 2

`10√(15)`

Explanation:

what we must do is find the product and see how we can simplify it, so we have:

`5\sqrt{(5)(6)(√(4) )} =5√((5)(6)(2)) =5√((30)(2)) =5√(60)`

But 60 can be expressed as (4)(15), so:

`5√(60) =5√((4)(15)) =5√(4) √(15) =(5)(2)√(15) =10√(15)`