Question

Find the exact value of the radical expression in simplest form.
the square root of 4 times y cubed − the square root of y cubed

the square root of y

y times the square root of y

y times the square root of 3 times y

the square root of 3 times y cubed

Answer 1

\[\sqrt{4*y^{3}} - \sqrt{y^{3}} = \sqrt{4}\sqrt{y^{3}}-\sqrt{y^{3}} = 2\sqrt{y^{3}}-\sqrt{y^{3}} = \sqrt{y^{3}}\]

Answer 2

oh not done yet..haha
\[\sqrt{y^{3}} = y^{3/2} = y^{1+1/2} = y*y^{1/2} = y*\sqrt{y}\]