Question

Simplify the Product.

√5(√15-3)

Answer 1

\[\sqrt{5}(\sqrt{15}-3)\]first you want to multiply square root of 5 by what is inside the bracket...
\[= \sqrt{75} - 3\sqrt{5}\]Next you want to see if you can break down the square toot of 75...
\[\sqrt{75}= \sqrt{25 * 3}\]
you can further break down the square root of 25 so...
\[\sqrt{75} = 5\sqrt{3}\]
your final answer is \[5\sqrt{3} - 3\sqrt{5}\]