Question

finding the products of square roots

Answer 1

\(\bf 7\sqrt{10}\cdot 3\sqrt{5}\implies 7\cdot 3\sqrt{10\cdot 5}\)

Answer 2

21 sqrt 50

Answer 3

yes, so \(\bf 7\sqrt{10}\cdot 3\sqrt{5}\implies 7\cdot 3\sqrt{10\cdot 5}\implies 21\sqrt{50}\\ \quad \\
\color{blue}{ 50\implies 2\cdot 5\cdot 2\implies 2\cdot 5^2}\\ \quad \\
21\sqrt{50}\implies 21\sqrt{2\cdot 5^2}\)