Question

is radical 7 times radical 7 radical 49

Answer 1

Yes

Answer 2

thanks, so is radical 3 times radical 3 radical 9

Answer 3

Yes.

By definition "radical 3" means the square root of 3. In symbols\[\sqrt{3} = 3^{1/2}\]

Hence
\[\sqrt{3} \sqrt{3} = 3^{1/2} 3^{1/2} = (3 \times 3)^{1/2} = 9^{1/2} = \sqrt{9}\]

Answer 4

which makes complete sense because
\[\sqrt{9} = 3\]
and it had better be the case that
\[\sqrt{3} \sqrt{3} = \sqrt{3^2} = 3\]