Question

3^squareroot -3 3^squareroot15 = 3^squareroot15
True or false?

Answer 1

\[\sqrt[3]{-3} \sqrt[3]{-5} =\sqrt[3]{15} true or false?\]

Answer 2

\(\bf \huge \sqrt[3]{-3}\sqrt[3]{-5} = \sqrt[3]{15} \ \ ?\)

Answer 3

True because \(\sqrt[\Large3]{x}\) is an odd-root. It would be false if it were \(\sqrt{x},~\sqrt[\Large4]{x},~\sqrt[\Large6]{x}\), etc.

Answer 4

Thank you! That's what I thought!

Answer 5

http://www.shelovesmath.com/wp-content/uploads/2012/10/Basic-Exponential-and-Radical-Rules.png