Question

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

Answer 1

Answer:

$10\sqrt{15}$

Step-by-step explanation:

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

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

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

$5\sqrt{60} =5\sqrt{(4)(15)} =5\sqrt{4} \sqrt{15} =(5)(2)\sqrt{15} =10\sqrt{15}$

Answer 2

60 square root of 5 is the answer